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Finding the Third Proportional to 225,614.11 and 338,469.57

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Solution

The third proportional to 225,614.11 and 338,469.57 is: 507,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,614.11 : 338,469.57 = 338,469.57 : x
  2. Step 2: Convert to fraction form
    225,614.11/338,469.57 = 338,469.57/x
  3. Step 3: Cross multiply
    225,614.11x = 338,469.57 × 338,469.57
  4. Step 4: Simplify right side
    225,614.11x = 114,561,652,671.83
  5. Step 5: Solve for x
    x = 114,561,652,671.83/225,614.11
  6. Step 6: Final answer
    x = 507,776.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.