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Finding the Third Proportional to 141,790 and 219,542

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Solution

The third proportional to 141,790 and 219,542 is: 339,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,790 : 219,542 = 219,542 : x
  2. Step 2: Convert to fraction form
    141,790/219,542 = 219,542/x
  3. Step 3: Cross multiply
    141,790x = 219,542 × 219,542
  4. Step 4: Simplify right side
    141,790x = 48,198,689,764
  5. Step 5: Solve for x
    x = 48,198,689,764/141,790
  6. Step 6: Final answer
    x = 339,930.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.