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Finding the Third Proportional to 83,317 and 179,942

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Solution

The third proportional to 83,317 and 179,942 is: 388,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,317 : 179,942 = 179,942 : x
  2. Step 2: Convert to fraction form
    83,317/179,942 = 179,942/x
  3. Step 3: Cross multiply
    83,317x = 179,942 × 179,942
  4. Step 4: Simplify right side
    83,317x = 32,379,123,364
  5. Step 5: Solve for x
    x = 32,379,123,364/83,317
  6. Step 6: Final answer
    x = 388,625.65

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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.