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Finding the Third Proportional to 132,214 and 271,469

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Solution

The third proportional to 132,214 and 271,469 is: 557,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,214 : 271,469 = 271,469 : x
  2. Step 2: Convert to fraction form
    132,214/271,469 = 271,469/x
  3. Step 3: Cross multiply
    132,214x = 271,469 × 271,469
  4. Step 4: Simplify right side
    132,214x = 73,695,417,961
  5. Step 5: Solve for x
    x = 73,695,417,961/132,214
  6. Step 6: Final answer
    x = 557,394.97

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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.