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Finding the Third Proportional to 83,268 and 179,829

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Solution

The third proportional to 83,268 and 179,829 is: 388,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,268 : 179,829 = 179,829 : x
  2. Step 2: Convert to fraction form
    83,268/179,829 = 179,829/x
  3. Step 3: Cross multiply
    83,268x = 179,829 × 179,829
  4. Step 4: Simplify right side
    83,268x = 32,338,469,241
  5. Step 5: Solve for x
    x = 32,338,469,241/83,268
  6. Step 6: Final answer
    x = 388,366.11

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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.