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Finding the Third Proportional to 80,266 and 170,894

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Solution

The third proportional to 80,266 and 170,894 is: 363,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,266 : 170,894 = 170,894 : x
  2. Step 2: Convert to fraction form
    80,266/170,894 = 170,894/x
  3. Step 3: Cross multiply
    80,266x = 170,894 × 170,894
  4. Step 4: Simplify right side
    80,266x = 29,204,759,236
  5. Step 5: Solve for x
    x = 29,204,759,236/80,266
  6. Step 6: Final answer
    x = 363,849.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.