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Finding the Third Proportional to 110.72 and 188.02

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Solution

The third proportional to 110.72 and 188.02 is: 319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.72 : 188.02 = 188.02 : x
  2. Step 2: Convert to fraction form
    110.72/188.02 = 188.02/x
  3. Step 3: Cross multiply
    110.72x = 188.02 × 188.02
  4. Step 4: Simplify right side
    110.72x = 35,349.88
  5. Step 5: Solve for x
    x = 35,349.88/110.72
  6. Step 6: Final answer
    x = 319.28

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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.