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Finding the Third Proportional to 151,942 and 351,759

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Solution

The third proportional to 151,942 and 351,759 is: 814,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,942 : 351,759 = 351,759 : x
  2. Step 2: Convert to fraction form
    151,942/351,759 = 351,759/x
  3. Step 3: Cross multiply
    151,942x = 351,759 × 351,759
  4. Step 4: Simplify right side
    151,942x = 123,734,394,081
  5. Step 5: Solve for x
    x = 123,734,394,081/151,942
  6. Step 6: Final answer
    x = 814,352.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.