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Finding the Third Proportional to 110.75 and 177.38

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Solution

The third proportional to 110.75 and 177.38 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 177.38 = 177.38 : x
  2. Step 2: Convert to fraction form
    110.75/177.38 = 177.38/x
  3. Step 3: Cross multiply
    110.75x = 177.38 × 177.38
  4. Step 4: Simplify right side
    110.75x = 31,461.89
  5. Step 5: Solve for x
    x = 31,461.89/110.75
  6. Step 6: Final answer
    x = 284.08

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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.