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Finding the Third Proportional to 110.50 and 177.88

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Solution

The third proportional to 110.50 and 177.88 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 177.88 = 177.88 : x
  2. Step 2: Convert to fraction form
    110.50/177.88 = 177.88/x
  3. Step 3: Cross multiply
    110.50x = 177.88 × 177.88
  4. Step 4: Simplify right side
    110.50x = 31,639.52
  5. Step 5: Solve for x
    x = 31,639.52/110.50
  6. Step 6: Final answer
    x = 286.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.