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Finding the Third Proportional to 132,624 and 271,377

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Solution

The third proportional to 132,624 and 271,377 is: 555,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,624 : 271,377 = 271,377 : x
  2. Step 2: Convert to fraction form
    132,624/271,377 = 271,377/x
  3. Step 3: Cross multiply
    132,624x = 271,377 × 271,377
  4. Step 4: Simplify right side
    132,624x = 73,645,476,129
  5. Step 5: Solve for x
    x = 73,645,476,129/132,624
  6. Step 6: Final answer
    x = 555,295.24

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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.