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Finding the Third Proportional to 110.25 and 227.25

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Solution

The third proportional to 110.25 and 227.25 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 227.25 = 227.25 : x
  2. Step 2: Convert to fraction form
    110.25/227.25 = 227.25/x
  3. Step 3: Cross multiply
    110.25x = 227.25 × 227.25
  4. Step 4: Simplify right side
    110.25x = 51,642.56
  5. Step 5: Solve for x
    x = 51,642.56/110.25
  6. Step 6: Final answer
    x = 468.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.