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Finding the Third Proportional to 230.75 and 550.88

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Solution

The third proportional to 230.75 and 550.88 is: 1,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.75 : 550.88 = 550.88 : x
  2. Step 2: Convert to fraction form
    230.75/550.88 = 550.88/x
  3. Step 3: Cross multiply
    230.75x = 550.88 × 550.88
  4. Step 4: Simplify right side
    230.75x = 303,463.27
  5. Step 5: Solve for x
    x = 303,463.27/230.75
  6. Step 6: Final answer
    x = 1,315.12

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.