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Finding the Third Proportional to 181,761 and 399,615

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Solution

The third proportional to 181,761 and 399,615 is: 878,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,761 : 399,615 = 399,615 : x
  2. Step 2: Convert to fraction form
    181,761/399,615 = 399,615/x
  3. Step 3: Cross multiply
    181,761x = 399,615 × 399,615
  4. Step 4: Simplify right side
    181,761x = 159,692,148,225
  5. Step 5: Solve for x
    x = 159,692,148,225/181,761
  6. Step 6: Final answer
    x = 878,583.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.