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Finding the Third Proportional to 150,723 and 239,922

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Solution

The third proportional to 150,723 and 239,922 is: 381,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,723 : 239,922 = 239,922 : x
  2. Step 2: Convert to fraction form
    150,723/239,922 = 239,922/x
  3. Step 3: Cross multiply
    150,723x = 239,922 × 239,922
  4. Step 4: Simplify right side
    150,723x = 57,562,566,084
  5. Step 5: Solve for x
    x = 57,562,566,084/150,723
  6. Step 6: Final answer
    x = 381,909.64

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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.