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Finding the Third Proportional to 179,742 and 275,067

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Solution

The third proportional to 179,742 and 275,067 is: 420,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,742 : 275,067 = 275,067 : x
  2. Step 2: Convert to fraction form
    179,742/275,067 = 275,067/x
  3. Step 3: Cross multiply
    179,742x = 275,067 × 275,067
  4. Step 4: Simplify right side
    179,742x = 75,661,854,489
  5. Step 5: Solve for x
    x = 75,661,854,489/179,742
  6. Step 6: Final answer
    x = 420,946.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.