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Finding the Third Proportional to 226,932.75 and 308,350.13

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Solution

The third proportional to 226,932.75 and 308,350.13 is: 418,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,932.75 : 308,350.13 = 308,350.13 : x
  2. Step 2: Convert to fraction form
    226,932.75/308,350.13 = 308,350.13/x
  3. Step 3: Cross multiply
    226,932.75x = 308,350.13 × 308,350.13
  4. Step 4: Simplify right side
    226,932.75x = 95,079,799,587.52
  5. Step 5: Solve for x
    x = 95,079,799,587.52/226,932.75
  6. Step 6: Final answer
    x = 418,977.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.