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Finding the Third Proportional to 225,453 and 337,467

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Solution

The third proportional to 225,453 and 337,467 is: 505,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,453 : 337,467 = 337,467 : x
  2. Step 2: Convert to fraction form
    225,453/337,467 = 337,467/x
  3. Step 3: Cross multiply
    225,453x = 337,467 × 337,467
  4. Step 4: Simplify right side
    225,453x = 113,883,976,089
  5. Step 5: Solve for x
    x = 113,883,976,089/225,453
  6. Step 6: Final answer
    x = 505,134.00

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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.