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Finding the Third Proportional to 250,121 and 374,493

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Solution

The third proportional to 250,121 and 374,493 is: 560,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,121 : 374,493 = 374,493 : x
  2. Step 2: Convert to fraction form
    250,121/374,493 = 374,493/x
  3. Step 3: Cross multiply
    250,121x = 374,493 × 374,493
  4. Step 4: Simplify right side
    250,121x = 140,245,007,049
  5. Step 5: Solve for x
    x = 140,245,007,049/250,121
  6. Step 6: Final answer
    x = 560,708.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.