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Finding the Third Proportional to 101.44 and 160.78

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Solution

The third proportional to 101.44 and 160.78 is: 254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 160.78 = 160.78 : x
  2. Step 2: Convert to fraction form
    101.44/160.78 = 160.78/x
  3. Step 3: Cross multiply
    101.44x = 160.78 × 160.78
  4. Step 4: Simplify right side
    101.44x = 25,850.61
  5. Step 5: Solve for x
    x = 25,850.61/101.44
  6. Step 6: Final answer
    x = 254.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.