Finding the Third Proportional to 176,539 and 416,404
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Solution
The third proportional to 176,539 and 416,404 is: 982,175.56
Step by Step Solution
- Step 1: Write the proportion equation
176,539 : 416,404 = 416,404 : x - Step 2: Convert to fraction form
176,539/416,404 = 416,404/x - Step 3: Cross multiply
176,539x = 416,404 × 416,404 - Step 4: Simplify right side
176,539x = 173,392,291,216 - Step 5: Solve for x
x = 173,392,291,216/176,539 - Step 6: Final answer
x = 982,175.56
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.