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Finding the Third Proportional to 110.75 and 253.88

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Solution

The third proportional to 110.75 and 253.88 is: 581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 253.88 = 253.88 : x
  2. Step 2: Convert to fraction form
    110.75/253.88 = 253.88/x
  3. Step 3: Cross multiply
    110.75x = 253.88 × 253.88
  4. Step 4: Simplify right side
    110.75x = 64,452.52
  5. Step 5: Solve for x
    x = 64,452.52/110.75
  6. Step 6: Final answer
    x = 581.96

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.