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Finding the Third Proportional to 252.88 and 550.63

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Solution

The third proportional to 252.88 and 550.63 is: 1,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.88 : 550.63 = 550.63 : x
  2. Step 2: Convert to fraction form
    252.88/550.63 = 550.63/x
  3. Step 3: Cross multiply
    252.88x = 550.63 × 550.63
  4. Step 4: Simplify right side
    252.88x = 303,187.89
  5. Step 5: Solve for x
    x = 303,187.89/252.88
  6. Step 6: Final answer
    x = 1,198.96

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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.