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Finding the Third Proportional to 257,181.75 and 398,791.69

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Solution

The third proportional to 257,181.75 and 398,791.69 is: 618,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,181.75 : 398,791.69 = 398,791.69 : x
  2. Step 2: Convert to fraction form
    257,181.75/398,791.69 = 398,791.69/x
  3. Step 3: Cross multiply
    257,181.75x = 398,791.69 × 398,791.69
  4. Step 4: Simplify right side
    257,181.75x = 159,034,810,019.10
  5. Step 5: Solve for x
    x = 159,034,810,019.10/257,181.75
  6. Step 6: Final answer
    x = 618,375.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.