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Finding the Third Proportional to 146,197.13 and 220,375.69

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Solution

The third proportional to 146,197.13 and 220,375.69 is: 332,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,197.13 : 220,375.69 = 220,375.69 : x
  2. Step 2: Convert to fraction form
    146,197.13/220,375.69 = 220,375.69/x
  3. Step 3: Cross multiply
    146,197.13x = 220,375.69 × 220,375.69
  4. Step 4: Simplify right side
    146,197.13x = 48,565,443,641.10
  5. Step 5: Solve for x
    x = 48,565,443,641.10/146,197.13
  6. Step 6: Final answer
    x = 332,191.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.