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Finding the Third Proportional to 110.75 and 250.94

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Solution

The third proportional to 110.75 and 250.94 is: 568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 250.94 = 250.94 : x
  2. Step 2: Convert to fraction form
    110.75/250.94 = 250.94/x
  3. Step 3: Cross multiply
    110.75x = 250.94 × 250.94
  4. Step 4: Simplify right side
    110.75x = 62,969.63
  5. Step 5: Solve for x
    x = 62,969.63/110.75
  6. Step 6: Final answer
    x = 568.57

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.