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Finding the Third Proportional to 83,790 and 176,198

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Solution

The third proportional to 83,790 and 176,198 is: 370,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,790 : 176,198 = 176,198 : x
  2. Step 2: Convert to fraction form
    83,790/176,198 = 176,198/x
  3. Step 3: Cross multiply
    83,790x = 176,198 × 176,198
  4. Step 4: Simplify right side
    83,790x = 31,045,735,204
  5. Step 5: Solve for x
    x = 31,045,735,204/83,790
  6. Step 6: Final answer
    x = 370,518.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.