Finding the Third Proportional to 137,742 and 296,490
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Solution
The third proportional to 137,742 and 296,490 is: 638,195.47
Step by Step Solution
- Step 1: Write the proportion equation
137,742 : 296,490 = 296,490 : x - Step 2: Convert to fraction form
137,742/296,490 = 296,490/x - Step 3: Cross multiply
137,742x = 296,490 × 296,490 - Step 4: Simplify right side
137,742x = 87,906,320,100 - Step 5: Solve for x
x = 87,906,320,100/137,742 - Step 6: Final answer
x = 638,195.47
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.