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Finding the Third Proportional to 129.50 and 241.38

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Solution

The third proportional to 129.50 and 241.38 is: 449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.50 : 241.38 = 241.38 : x
  2. Step 2: Convert to fraction form
    129.50/241.38 = 241.38/x
  3. Step 3: Cross multiply
    129.50x = 241.38 × 241.38
  4. Step 4: Simplify right side
    129.50x = 58,261.89
  5. Step 5: Solve for x
    x = 58,261.89/129.50
  6. Step 6: Final answer
    x = 449.90

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.