Besides Dogra, who hit 16 fours from 185 balls, three other Himachal batsmen -- captain Rishi Dhawan (50), Bipul Sharma (74) and Akshay Chauhan (53) -- scored half centuries to give the home side a huge first innings lead of 276 runs.
The home side added 362 runs today after resuming the day on 92 for one at the HPCA Stadium.
Jammu and Kashmir, who were bundled out for 178 in their first innings, were 14 for one in their second essay at the draw of stumps.
The visitors now trail by 262 runs with nine second innings wickets remaining.
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Brief Scores:
J&K 1st Innings: 178 and 14 for 1 in four overs.
Himachal 1st Innings: 454 all out in 117 overs (Paras Dogra 96, Bipul Sharma 74; Ram Dayal 4/97).