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Finding the Third Proportional to 80,794 and 165,612

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Solution

The third proportional to 80,794 and 165,612 is: 339,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,794 : 165,612 = 165,612 : x
  2. Step 2: Convert to fraction form
    80,794/165,612 = 165,612/x
  3. Step 3: Cross multiply
    80,794x = 165,612 × 165,612
  4. Step 4: Simplify right side
    80,794x = 27,427,334,544
  5. Step 5: Solve for x
    x = 27,427,334,544/80,794
  6. Step 6: Final answer
    x = 339,472.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.