Finding the Third Proportional to 117,418 and 178,374
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Solution
The third proportional to 117,418 and 178,374 is: 270,974.50
Step by Step Solution
- Step 1: Write the proportion equation
117,418 : 178,374 = 178,374 : x - Step 2: Convert to fraction form
117,418/178,374 = 178,374/x - Step 3: Cross multiply
117,418x = 178,374 × 178,374 - Step 4: Simplify right side
117,418x = 31,817,283,876 - Step 5: Solve for x
x = 31,817,283,876/117,418 - Step 6: Final answer
x = 270,974.50
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.