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Finding the Third Proportional to 225,267 and 337,229.50

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Solution

The third proportional to 225,267 and 337,229.50 is: 504,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,267 : 337,229.50 = 337,229.50 : x
  2. Step 2: Convert to fraction form
    225,267/337,229.50 = 337,229.50/x
  3. Step 3: Cross multiply
    225,267x = 337,229.50 × 337,229.50
  4. Step 4: Simplify right side
    225,267x = 113,723,735,670.25
  5. Step 5: Solve for x
    x = 113,723,735,670.25/225,267
  6. Step 6: Final answer
    x = 504,839.75

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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.