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Finding the Third Proportional to 110.44 and 282.47

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Solution

The third proportional to 110.44 and 282.47 is: 722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 282.47 = 282.47 : x
  2. Step 2: Convert to fraction form
    110.44/282.47 = 282.47/x
  3. Step 3: Cross multiply
    110.44x = 282.47 × 282.47
  4. Step 4: Simplify right side
    110.44x = 79,788.59
  5. Step 5: Solve for x
    x = 79,788.59/110.44
  6. Step 6: Final answer
    x = 722.48

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.