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Finding the Third Proportional to 232,252 and 339,415

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Solution

The third proportional to 232,252 and 339,415 is: 496,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,252 : 339,415 = 339,415 : x
  2. Step 2: Convert to fraction form
    232,252/339,415 = 339,415/x
  3. Step 3: Cross multiply
    232,252x = 339,415 × 339,415
  4. Step 4: Simplify right side
    232,252x = 115,202,542,225
  5. Step 5: Solve for x
    x = 115,202,542,225/232,252
  6. Step 6: Final answer
    x = 496,023.90

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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.