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Finding the Third Proportional to 110.34 and 162.33

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Solution

The third proportional to 110.34 and 162.33 is: 238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 162.33 = 162.33 : x
  2. Step 2: Convert to fraction form
    110.34/162.33 = 162.33/x
  3. Step 3: Cross multiply
    110.34x = 162.33 × 162.33
  4. Step 4: Simplify right side
    110.34x = 26,350.42
  5. Step 5: Solve for x
    x = 26,350.42/110.34
  6. Step 6: Final answer
    x = 238.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.