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Finding the Third Proportional to 132,327 and 271,674

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Solution

The third proportional to 132,327 and 271,674 is: 557,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,327 : 271,674 = 271,674 : x
  2. Step 2: Convert to fraction form
    132,327/271,674 = 271,674/x
  3. Step 3: Cross multiply
    132,327x = 271,674 × 271,674
  4. Step 4: Simplify right side
    132,327x = 73,806,762,276
  5. Step 5: Solve for x
    x = 73,806,762,276/132,327
  6. Step 6: Final answer
    x = 557,760.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.