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Finding the Third Proportional to 187,942 and 271,545

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Solution

The third proportional to 187,942 and 271,545 is: 392,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,942 : 271,545 = 271,545 : x
  2. Step 2: Convert to fraction form
    187,942/271,545 = 271,545/x
  3. Step 3: Cross multiply
    187,942x = 271,545 × 271,545
  4. Step 4: Simplify right side
    187,942x = 73,736,687,025
  5. Step 5: Solve for x
    x = 73,736,687,025/187,942
  6. Step 6: Final answer
    x = 392,337.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.