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Finding the Third Proportional to 129,614 and 278,020

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Solution

The third proportional to 129,614 and 278,020 is: 596,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,614 : 278,020 = 278,020 : x
  2. Step 2: Convert to fraction form
    129,614/278,020 = 278,020/x
  3. Step 3: Cross multiply
    129,614x = 278,020 × 278,020
  4. Step 4: Simplify right side
    129,614x = 77,295,120,400
  5. Step 5: Solve for x
    x = 77,295,120,400/129,614
  6. Step 6: Final answer
    x = 596,348.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.