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Finding the Third Proportional to 225,451 and 337,464

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Solution

The third proportional to 225,451 and 337,464 is: 505,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,451 : 337,464 = 337,464 : x
  2. Step 2: Convert to fraction form
    225,451/337,464 = 337,464/x
  3. Step 3: Cross multiply
    225,451x = 337,464 × 337,464
  4. Step 4: Simplify right side
    225,451x = 113,881,951,296
  5. Step 5: Solve for x
    x = 113,881,951,296/225,451
  6. Step 6: Final answer
    x = 505,129.50

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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.