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Finding the Third Proportional to 199,563.75 and 461,517.75

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Solution

The third proportional to 199,563.75 and 461,517.75 is: 1,067,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,563.75 : 461,517.75 = 461,517.75 : x
  2. Step 2: Convert to fraction form
    199,563.75/461,517.75 = 461,517.75/x
  3. Step 3: Cross multiply
    199,563.75x = 461,517.75 × 461,517.75
  4. Step 4: Simplify right side
    199,563.75x = 212,998,633,565.06
  5. Step 5: Solve for x
    x = 212,998,633,565.06/199,563.75
  6. Step 6: Final answer
    x = 1,067,321.26

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.