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Finding the Third Proportional to 83,778 and 180,676

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Solution

The third proportional to 83,778 and 180,676 is: 389,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778 : 180,676 = 180,676 : x
  2. Step 2: Convert to fraction form
    83,778/180,676 = 180,676/x
  3. Step 3: Cross multiply
    83,778x = 180,676 × 180,676
  4. Step 4: Simplify right side
    83,778x = 32,643,816,976
  5. Step 5: Solve for x
    x = 32,643,816,976/83,778
  6. Step 6: Final answer
    x = 389,646.65

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Why These Related Problems?

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