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Finding the Third Proportional to 166,839.75 and 252,213.75

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Solution

The third proportional to 166,839.75 and 252,213.75 is: 381,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,839.75 : 252,213.75 = 252,213.75 : x
  2. Step 2: Convert to fraction form
    166,839.75/252,213.75 = 252,213.75/x
  3. Step 3: Cross multiply
    166,839.75x = 252,213.75 × 252,213.75
  4. Step 4: Simplify right side
    166,839.75x = 63,611,775,689.06
  5. Step 5: Solve for x
    x = 63,611,775,689.06/166,839.75
  6. Step 6: Final answer
    x = 381,274.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.