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Finding the Third Proportional to 101.44 and 165.19

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Solution

The third proportional to 101.44 and 165.19 is: 269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 165.19 = 165.19 : x
  2. Step 2: Convert to fraction form
    101.44/165.19 = 165.19/x
  3. Step 3: Cross multiply
    101.44x = 165.19 × 165.19
  4. Step 4: Simplify right side
    101.44x = 27,286.91
  5. Step 5: Solve for x
    x = 27,286.91/101.44
  6. Step 6: Final answer
    x = 269.00

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.