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Finding the Third Proportional to 156.38 and 241.31

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Solution

The third proportional to 156.38 and 241.31 is: 372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.38 : 241.31 = 241.31 : x
  2. Step 2: Convert to fraction form
    156.38/241.31 = 241.31/x
  3. Step 3: Cross multiply
    156.38x = 241.31 × 241.31
  4. Step 4: Simplify right side
    156.38x = 58,231.72
  5. Step 5: Solve for x
    x = 58,231.72/156.38
  6. Step 6: Final answer
    x = 372.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.