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Finding the Third Proportional to 110.82 and 177.05

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Solution

The third proportional to 110.82 and 177.05 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.82 : 177.05 = 177.05 : x
  2. Step 2: Convert to fraction form
    110.82/177.05 = 177.05/x
  3. Step 3: Cross multiply
    110.82x = 177.05 × 177.05
  4. Step 4: Simplify right side
    110.82x = 31,346.59
  5. Step 5: Solve for x
    x = 31,346.59/110.82
  6. Step 6: Final answer
    x = 282.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.