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Finding the Third Proportional to 550 and 1,198.75

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Solution

The third proportional to 550 and 1,198.75 is: 2,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 1,198.75 = 1,198.75 : x
  2. Step 2: Convert to fraction form
    550/1,198.75 = 1,198.75/x
  3. Step 3: Cross multiply
    550x = 1,198.75 × 1,198.75
  4. Step 4: Simplify right side
    550x = 1,437,001.56
  5. Step 5: Solve for x
    x = 1,437,001.56/550
  6. Step 6: Final answer
    x = 2,612.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.