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Finding the Third Proportional to 225,371 and 337,353

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Solution

The third proportional to 225,371 and 337,353 is: 504,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,371 : 337,353 = 337,353 : x
  2. Step 2: Convert to fraction form
    225,371/337,353 = 337,353/x
  3. Step 3: Cross multiply
    225,371x = 337,353 × 337,353
  4. Step 4: Simplify right side
    225,371x = 113,807,046,609
  5. Step 5: Solve for x
    x = 113,807,046,609/225,371
  6. Step 6: Final answer
    x = 504,976.45

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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.