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Finding the Third Proportional to 225,736 and 337,500

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Solution

The third proportional to 225,736 and 337,500 is: 504,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,736 : 337,500 = 337,500 : x
  2. Step 2: Convert to fraction form
    225,736/337,500 = 337,500/x
  3. Step 3: Cross multiply
    225,736x = 337,500 × 337,500
  4. Step 4: Simplify right side
    225,736x = 113,906,250,000
  5. Step 5: Solve for x
    x = 113,906,250,000/225,736
  6. Step 6: Final answer
    x = 504,599.40

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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.