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Finding the Third Proportional to 150,734 and 239,938

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Solution

The third proportional to 150,734 and 239,938 is: 381,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,734 : 239,938 = 239,938 : x
  2. Step 2: Convert to fraction form
    150,734/239,938 = 239,938/x
  3. Step 3: Cross multiply
    150,734x = 239,938 × 239,938
  4. Step 4: Simplify right side
    150,734x = 57,570,243,844
  5. Step 5: Solve for x
    x = 57,570,243,844/150,734
  6. Step 6: Final answer
    x = 381,932.70

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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.