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Finding the Third Proportional to 83,170 and 182,282

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Solution

The third proportional to 83,170 and 182,282 is: 399,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,170 : 182,282 = 182,282 : x
  2. Step 2: Convert to fraction form
    83,170/182,282 = 182,282/x
  3. Step 3: Cross multiply
    83,170x = 182,282 × 182,282
  4. Step 4: Simplify right side
    83,170x = 33,226,727,524
  5. Step 5: Solve for x
    x = 33,226,727,524/83,170
  6. Step 6: Final answer
    x = 399,503.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.