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Finding the Third Proportional to 150,736 and 239,941

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Solution

The third proportional to 150,736 and 239,941 is: 381,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,736 : 239,941 = 239,941 : x
  2. Step 2: Convert to fraction form
    150,736/239,941 = 239,941/x
  3. Step 3: Cross multiply
    150,736x = 239,941 × 239,941
  4. Step 4: Simplify right side
    150,736x = 57,571,683,481
  5. Step 5: Solve for x
    x = 57,571,683,481/150,736
  6. Step 6: Final answer
    x = 381,937.18

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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.