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Finding the Third Proportional to 150,735 and 239,939

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Solution

The third proportional to 150,735 and 239,939 is: 381,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,735 : 239,939 = 239,939 : x
  2. Step 2: Convert to fraction form
    150,735/239,939 = 239,939/x
  3. Step 3: Cross multiply
    150,735x = 239,939 × 239,939
  4. Step 4: Simplify right side
    150,735x = 57,570,723,721
  5. Step 5: Solve for x
    x = 57,570,723,721/150,735
  6. Step 6: Final answer
    x = 381,933.35

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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.