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Finding the Third Proportional to 128,630 and 278,725

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Solution

The third proportional to 128,630 and 278,725 is: 603,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,630 : 278,725 = 278,725 : x
  2. Step 2: Convert to fraction form
    128,630/278,725 = 278,725/x
  3. Step 3: Cross multiply
    128,630x = 278,725 × 278,725
  4. Step 4: Simplify right side
    128,630x = 77,687,625,625
  5. Step 5: Solve for x
    x = 77,687,625,625/128,630
  6. Step 6: Final answer
    x = 603,961.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.