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Finding the Third Proportional to 101.44 and 168.28

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Solution

The third proportional to 101.44 and 168.28 is: 279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 168.28 = 168.28 : x
  2. Step 2: Convert to fraction form
    101.44/168.28 = 168.28/x
  3. Step 3: Cross multiply
    101.44x = 168.28 × 168.28
  4. Step 4: Simplify right side
    101.44x = 28,318.58
  5. Step 5: Solve for x
    x = 28,318.58/101.44
  6. Step 6: Final answer
    x = 279.17

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.