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Finding the Third Proportional to 177,344 and 272,592

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Solution

The third proportional to 177,344 and 272,592 is: 418,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,344 : 272,592 = 272,592 : x
  2. Step 2: Convert to fraction form
    177,344/272,592 = 272,592/x
  3. Step 3: Cross multiply
    177,344x = 272,592 × 272,592
  4. Step 4: Simplify right side
    177,344x = 74,306,398,464
  5. Step 5: Solve for x
    x = 74,306,398,464/177,344
  6. Step 6: Final answer
    x = 418,995.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.