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Finding the Third Proportional to 80,394 and 186,265

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Solution

The third proportional to 80,394 and 186,265 is: 431,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,394 : 186,265 = 186,265 : x
  2. Step 2: Convert to fraction form
    80,394/186,265 = 186,265/x
  3. Step 3: Cross multiply
    80,394x = 186,265 × 186,265
  4. Step 4: Simplify right side
    80,394x = 34,694,650,225
  5. Step 5: Solve for x
    x = 34,694,650,225/80,394
  6. Step 6: Final answer
    x = 431,557.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.