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Finding the Third Proportional to 140,232.47 and 217,550.95

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Solution

The third proportional to 140,232.47 and 217,550.95 is: 337,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,232.47 : 217,550.95 = 217,550.95 : x
  2. Step 2: Convert to fraction form
    140,232.47/217,550.95 = 217,550.95/x
  3. Step 3: Cross multiply
    140,232.47x = 217,550.95 × 217,550.95
  4. Step 4: Simplify right side
    140,232.47x = 47,328,417,205.60
  5. Step 5: Solve for x
    x = 47,328,417,205.60/140,232.47
  6. Step 6: Final answer
    x = 337,499.71

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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.