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Finding the Third Proportional to 166,761 and 251,581.50

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Solution

The third proportional to 166,761 and 251,581.50 is: 379,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,761 : 251,581.50 = 251,581.50 : x
  2. Step 2: Convert to fraction form
    166,761/251,581.50 = 251,581.50/x
  3. Step 3: Cross multiply
    166,761x = 251,581.50 × 251,581.50
  4. Step 4: Simplify right side
    166,761x = 63,293,251,142.25
  5. Step 5: Solve for x
    x = 63,293,251,142.25/166,761
  6. Step 6: Final answer
    x = 379,544.68

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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.