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Finding the Third Proportional to 232,251 and 351,588

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Solution

The third proportional to 232,251 and 351,588 is: 532,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,251 : 351,588 = 351,588 : x
  2. Step 2: Convert to fraction form
    232,251/351,588 = 351,588/x
  3. Step 3: Cross multiply
    232,251x = 351,588 × 351,588
  4. Step 4: Simplify right side
    232,251x = 123,614,121,744
  5. Step 5: Solve for x
    x = 123,614,121,744/232,251
  6. Step 6: Final answer
    x = 532,243.66

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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.