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Finding the Third Proportional to 225,342 and 337,311

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Solution

The third proportional to 225,342 and 337,311 is: 504,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,342 : 337,311 = 337,311 : x
  2. Step 2: Convert to fraction form
    225,342/337,311 = 337,311/x
  3. Step 3: Cross multiply
    225,342x = 337,311 × 337,311
  4. Step 4: Simplify right side
    225,342x = 113,778,710,721
  5. Step 5: Solve for x
    x = 113,778,710,721/225,342
  6. Step 6: Final answer
    x = 504,915.69

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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.