Tasmania 5 for 506 (Dunk 190, Doolan 119, Bailey 103*) lead Victoria 165 by 341 runs
The Bushrangers captain and wicketkeeper Matthew Wade was reduced to bringing himself on to bowl near stumps in the middle of an unbroken partnership of 172 between Bailey and Tom Triffitt.
Their stand capitalised on the platform laid by Dunk and Doolan, who added a match-shaping 296 together after the visitors had been bowled out for a mere 165 on day one.
Dunk's ton was his highest in first-class matches and his fourth for Tasmania this season, while Doolan's contribution was a welcome return to form after he had endured a lean patch following his exit from the Australian Test side in late 2014.
The pair were ultimately dismissed within nine runs of each other, both caught by Peter Handscomb from the bowling of Scott Boland, but Bailey and Triffitt ensured Victoria's punishment was far from over.
Victoria had built a big lead at the top of the Shield table but are now likely to come back to the field with two further rounds remaining.