Finding the Third Proportional to 75,436 and 164,398
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Solution
The third proportional to 75,436 and 164,398 is: 358,273.27
Step by Step Solution
- Step 1: Write the proportion equation
75,436 : 164,398 = 164,398 : x - Step 2: Convert to fraction form
75,436/164,398 = 164,398/x - Step 3: Cross multiply
75,436x = 164,398 × 164,398 - Step 4: Simplify right side
75,436x = 27,026,702,404 - Step 5: Solve for x
x = 27,026,702,404/75,436 - Step 6: Final answer
x = 358,273.27
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.