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Finding the Third Proportional to 132,214.13 and 271,467.38

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Solution

The third proportional to 132,214.13 and 271,467.38 is: 557,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,214.13 : 271,467.38 = 271,467.38 : x
  2. Step 2: Convert to fraction form
    132,214.13/271,467.38 = 271,467.38/x
  3. Step 3: Cross multiply
    132,214.13x = 271,467.38 × 271,467.38
  4. Step 4: Simplify right side
    132,214.13x = 73,694,535,689.39
  5. Step 5: Solve for x
    x = 73,694,535,689.39/132,214.13
  6. Step 6: Final answer
    x = 557,387.77

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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.