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Finding the Third Proportional to 170.44 and 182.25

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Solution

The third proportional to 170.44 and 182.25 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 182.25 = 182.25 : x
  2. Step 2: Convert to fraction form
    170.44/182.25 = 182.25/x
  3. Step 3: Cross multiply
    170.44x = 182.25 × 182.25
  4. Step 4: Simplify right side
    170.44x = 33,215.06
  5. Step 5: Solve for x
    x = 33,215.06/170.44
  6. Step 6: Final answer
    x = 194.88

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.