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Finding the Third Proportional to 252.56 and 552.19

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Solution

The third proportional to 252.56 and 552.19 is: 1,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 552.19 = 552.19 : x
  2. Step 2: Convert to fraction form
    252.56/552.19 = 552.19/x
  3. Step 3: Cross multiply
    252.56x = 552.19 × 552.19
  4. Step 4: Simplify right side
    252.56x = 304,911.04
  5. Step 5: Solve for x
    x = 304,911.04/252.56
  6. Step 6: Final answer
    x = 1,207.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.