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Finding the Third Proportional to 110.75 and 188.38

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Solution

The third proportional to 110.75 and 188.38 is: 320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 188.38 = 188.38 : x
  2. Step 2: Convert to fraction form
    110.75/188.38 = 188.38/x
  3. Step 3: Cross multiply
    110.75x = 188.38 × 188.38
  4. Step 4: Simplify right side
    110.75x = 35,485.14
  5. Step 5: Solve for x
    x = 35,485.14/110.75
  6. Step 6: Final answer
    x = 320.41

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.