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Finding the Third Proportional to 150,731 and 239,934

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Solution

The third proportional to 150,731 and 239,934 is: 381,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,731 : 239,934 = 239,934 : x
  2. Step 2: Convert to fraction form
    150,731/239,934 = 239,934/x
  3. Step 3: Cross multiply
    150,731x = 239,934 × 239,934
  4. Step 4: Simplify right side
    150,731x = 57,568,324,356
  5. Step 5: Solve for x
    x = 57,568,324,356/150,731
  6. Step 6: Final answer
    x = 381,927.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.