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Finding the Third Proportional to 232,662 and 350,934

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Solution

The third proportional to 232,662 and 350,934 is: 529,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,662 : 350,934 = 350,934 : x
  2. Step 2: Convert to fraction form
    232,662/350,934 = 350,934/x
  3. Step 3: Cross multiply
    232,662x = 350,934 × 350,934
  4. Step 4: Simplify right side
    232,662x = 123,154,672,356
  5. Step 5: Solve for x
    x = 123,154,672,356/232,662
  6. Step 6: Final answer
    x = 529,328.69

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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.