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Finding the Third Proportional to 225,438 and 337,446

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Solution

The third proportional to 225,438 and 337,446 is: 505,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,438 : 337,446 = 337,446 : x
  2. Step 2: Convert to fraction form
    225,438/337,446 = 337,446/x
  3. Step 3: Cross multiply
    225,438x = 337,446 × 337,446
  4. Step 4: Simplify right side
    225,438x = 113,869,802,916
  5. Step 5: Solve for x
    x = 113,869,802,916/225,438
  6. Step 6: Final answer
    x = 505,104.74

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Why These Related Problems?

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