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Finding the Third Proportional to 80,286 and 185,919

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Solution

The third proportional to 80,286 and 185,919 is: 430,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,286 : 185,919 = 185,919 : x
  2. Step 2: Convert to fraction form
    80,286/185,919 = 185,919/x
  3. Step 3: Cross multiply
    80,286x = 185,919 × 185,919
  4. Step 4: Simplify right side
    80,286x = 34,565,874,561
  5. Step 5: Solve for x
    x = 34,565,874,561/80,286
  6. Step 6: Final answer
    x = 430,534.27

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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.