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Finding the Third Proportional to 225,746 and 337,513

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Solution

The third proportional to 225,746 and 337,513 is: 504,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,746 : 337,513 = 337,513 : x
  2. Step 2: Convert to fraction form
    225,746/337,513 = 337,513/x
  3. Step 3: Cross multiply
    225,746x = 337,513 × 337,513
  4. Step 4: Simplify right side
    225,746x = 113,915,025,169
  5. Step 5: Solve for x
    x = 113,915,025,169/225,746
  6. Step 6: Final answer
    x = 504,615.92

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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.