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Finding the Third Proportional to 222,013.13 and 338,545.69

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Solution

The third proportional to 222,013.13 and 338,545.69 is: 516,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,013.13 : 338,545.69 = 338,545.69 : x
  2. Step 2: Convert to fraction form
    222,013.13/338,545.69 = 338,545.69/x
  3. Step 3: Cross multiply
    222,013.13x = 338,545.69 × 338,545.69
  4. Step 4: Simplify right side
    222,013.13x = 114,613,182,524.85
  5. Step 5: Solve for x
    x = 114,613,182,524.85/222,013.13
  6. Step 6: Final answer
    x = 516,245.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.