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Finding the Third Proportional to 110.97 and 225.69

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Solution

The third proportional to 110.97 and 225.69 is: 459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 225.69 = 225.69 : x
  2. Step 2: Convert to fraction form
    110.97/225.69 = 225.69/x
  3. Step 3: Cross multiply
    110.97x = 225.69 × 225.69
  4. Step 4: Simplify right side
    110.97x = 50,934.85
  5. Step 5: Solve for x
    x = 50,934.85/110.97
  6. Step 6: Final answer
    x = 459.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.