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Finding the Third Proportional to 110.74 and 156.20

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Solution

The third proportional to 110.74 and 156.20 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 156.20 = 156.20 : x
  2. Step 2: Convert to fraction form
    110.74/156.20 = 156.20/x
  3. Step 3: Cross multiply
    110.74x = 156.20 × 156.20
  4. Step 4: Simplify right side
    110.74x = 24,398.20
  5. Step 5: Solve for x
    x = 24,398.20/110.74
  6. Step 6: Final answer
    x = 220.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.