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Finding the Third Proportional to 252.19 and 563.44

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Solution

The third proportional to 252.19 and 563.44 is: 1,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.19 : 563.44 = 563.44 : x
  2. Step 2: Convert to fraction form
    252.19/563.44 = 563.44/x
  3. Step 3: Cross multiply
    252.19x = 563.44 × 563.44
  4. Step 4: Simplify right side
    252.19x = 317,461.82
  5. Step 5: Solve for x
    x = 317,461.82/252.19
  6. Step 6: Final answer
    x = 1,258.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.