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Finding the Third Proportional to 232,900 and 350,517

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Solution

The third proportional to 232,900 and 350,517 is: 527,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,900 : 350,517 = 350,517 : x
  2. Step 2: Convert to fraction form
    232,900/350,517 = 350,517/x
  3. Step 3: Cross multiply
    232,900x = 350,517 × 350,517
  4. Step 4: Simplify right side
    232,900x = 122,862,167,289
  5. Step 5: Solve for x
    x = 122,862,167,289/232,900
  6. Step 6: Final answer
    x = 527,531.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.