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Finding the Third Proportional to 80,394.75 and 171,469.13

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Solution

The third proportional to 80,394.75 and 171,469.13 is: 365,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,394.75 : 171,469.13 = 171,469.13 : x
  2. Step 2: Convert to fraction form
    80,394.75/171,469.13 = 171,469.13/x
  3. Step 3: Cross multiply
    80,394.75x = 171,469.13 × 171,469.13
  4. Step 4: Simplify right side
    80,394.75x = 29,401,660,828.27
  5. Step 5: Solve for x
    x = 29,401,660,828.27/80,394.75
  6. Step 6: Final answer
    x = 365,716.18

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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.