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Finding the Third Proportional to 136.44 and 241.38

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Solution

The third proportional to 136.44 and 241.38 is: 427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 241.38 = 241.38 : x
  2. Step 2: Convert to fraction form
    136.44/241.38 = 241.38/x
  3. Step 3: Cross multiply
    136.44x = 241.38 × 241.38
  4. Step 4: Simplify right side
    136.44x = 58,261.89
  5. Step 5: Solve for x
    x = 58,261.89/136.44
  6. Step 6: Final answer
    x = 427.02

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.