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Finding the Third Proportional to 252.97 and 548.89

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Solution

The third proportional to 252.97 and 548.89 is: 1,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.97 : 548.89 = 548.89 : x
  2. Step 2: Convert to fraction form
    252.97/548.89 = 548.89/x
  3. Step 3: Cross multiply
    252.97x = 548.89 × 548.89
  4. Step 4: Simplify right side
    252.97x = 301,275.56
  5. Step 5: Solve for x
    x = 301,275.56/252.97
  6. Step 6: Final answer
    x = 1,190.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.