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Finding the Third Proportional to 252.75 and 415.25

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Solution

The third proportional to 252.75 and 415.25 is: 682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 415.25 = 415.25 : x
  2. Step 2: Convert to fraction form
    252.75/415.25 = 415.25/x
  3. Step 3: Cross multiply
    252.75x = 415.25 × 415.25
  4. Step 4: Simplify right side
    252.75x = 172,432.56
  5. Step 5: Solve for x
    x = 172,432.56/252.75
  6. Step 6: Final answer
    x = 682.23

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.