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Finding the Third Proportional to 232,256 and 339,422

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Solution

The third proportional to 232,256 and 339,422 is: 496,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,256 : 339,422 = 339,422 : x
  2. Step 2: Convert to fraction form
    232,256/339,422 = 339,422/x
  3. Step 3: Cross multiply
    232,256x = 339,422 × 339,422
  4. Step 4: Simplify right side
    232,256x = 115,207,294,084
  5. Step 5: Solve for x
    x = 115,207,294,084/232,256
  6. Step 6: Final answer
    x = 496,035.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.