Marsh blasted a double century, scoring 211 in 294 balls, while No. 8 batsman Whiteman smashed 278-ball 174 in a scintillating run-fest as they combined to score 47 fours and 11 sixes to finish the day at 522 for nine here at the Allan Border Field.
The partnership that came off 86.4 overs is the highest for the seventh-wicket by Australia in first-class cricket history, and the second-highest in any first-class match.
Resuming at 126 for six, Marsh and Whiteman rescued the hosts with their scintillating partnership as the duo milked the Indian bowlers, scoring at more than four runs per over.
Spinner Karun Nair finally broke the partnership when he had Whiteman caught by Jasprit Bumrah as Australia A lost their first wicket of the day, slipping to 470 for seven.
Four overs later, pacer Bumrah was once again in action as he cleaned up Ben Cutting. Marsh, too, was sent packing in the fag end of the day with Robin Uthappa running him out in the 133rd over.
Earlier, resuming at his overnight score of 18, Marsh started the proceedings of the day with a couple of boundaries off Umesh Yadav but it was Whiteman who was more dominating, racing away to his fifty with a four off Pragyan Ojha in the 62nd over.
Marsh also got into the rhythm quickly, blasting a four and a six in the next two overs off Bumrah and Ojha, respectively to reach his individual half-century.
Tiwary and Kulkarni then tried to tighten the screw as Australia A took lunch at 250 for six.
Once Whiteman was dismissed in the 125th over, Marsh stepped up and reached his double ton with a six off Ojha over midwicket. He was the last man to be dismissed.
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