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Finding the Third Proportional to 147.42 and 221.20

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Solution

The third proportional to 147.42 and 221.20 is: 331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 221.20 = 221.20 : x
  2. Step 2: Convert to fraction form
    147.42/221.20 = 221.20/x
  3. Step 3: Cross multiply
    147.42x = 221.20 × 221.20
  4. Step 4: Simplify right side
    147.42x = 48,930.82
  5. Step 5: Solve for x
    x = 48,930.82/147.42
  6. Step 6: Final answer
    x = 331.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.