The Indian trio of Pemba Tamang, Gurpreet Singh and Vijay Kumar scored a combined 1740-68x to finish behind China's team of Yongde Jin, Chuanlin Li and Feng Ding, who fired 1742-56x to take gold.
For India, Tamang shot 288-22x (93, 99, 96 in precision and 99, 97, 97 in rapid) while Gurpreet scored 292-25x (98, 99, 95 in precision and 95, 96, 97 in rapid).
2012 Olympic silver medallist Vijay shot 285-21x (95, 94, 96 in precision and 100, 98, 96 in rapid) to help India get their 16th overall medal and eighth from the shooting range.
South Korea, with the team of Youngmin Kim, Daekyu Jang and Jinil Kim, scored 1739-54x to win bronze ahead of Vietnam.
However, none of the Indians managed to finish on the podium in the individual event. Pemba Tamang, Gurpreet and Vijay finished eighth, ninth and 12th respectively.
The individual gold went to Qatar's Oleg Engachev while China's Jin took silver and Singapore's Bin Gai won bronze.