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Finding the Third Proportional to 110.25 and 204.75

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Solution

The third proportional to 110.25 and 204.75 is: 380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 204.75 = 204.75 : x
  2. Step 2: Convert to fraction form
    110.25/204.75 = 204.75/x
  3. Step 3: Cross multiply
    110.25x = 204.75 × 204.75
  4. Step 4: Simplify right side
    110.25x = 41,922.56
  5. Step 5: Solve for x
    x = 41,922.56/110.25
  6. Step 6: Final answer
    x = 380.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.