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Finding the Third Proportional to 177,866 and 271,317

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Solution

The third proportional to 177,866 and 271,317 is: 413,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,866 : 271,317 = 271,317 : x
  2. Step 2: Convert to fraction form
    177,866/271,317 = 271,317/x
  3. Step 3: Cross multiply
    177,866x = 271,317 × 271,317
  4. Step 4: Simplify right side
    177,866x = 73,612,914,489
  5. Step 5: Solve for x
    x = 73,612,914,489/177,866
  6. Step 6: Final answer
    x = 413,867.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.