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Finding the Third Proportional to 83,339 and 179,800

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Solution

The third proportional to 83,339 and 179,800 is: 387,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,339 : 179,800 = 179,800 : x
  2. Step 2: Convert to fraction form
    83,339/179,800 = 179,800/x
  3. Step 3: Cross multiply
    83,339x = 179,800 × 179,800
  4. Step 4: Simplify right side
    83,339x = 32,328,040,000
  5. Step 5: Solve for x
    x = 32,328,040,000/83,339
  6. Step 6: Final answer
    x = 387,910.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.