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Finding the Third Proportional to 110.25 and 284.38

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Solution

The third proportional to 110.25 and 284.38 is: 733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 284.38 = 284.38 : x
  2. Step 2: Convert to fraction form
    110.25/284.38 = 284.38/x
  3. Step 3: Cross multiply
    110.25x = 284.38 × 284.38
  4. Step 4: Simplify right side
    110.25x = 80,869.14
  5. Step 5: Solve for x
    x = 80,869.14/110.25
  6. Step 6: Final answer
    x = 733.51

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.