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Finding the Third Proportional to 169.80 and 184.57

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Solution

The third proportional to 169.80 and 184.57 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 184.57 = 184.57 : x
  2. Step 2: Convert to fraction form
    169.80/184.57 = 184.57/x
  3. Step 3: Cross multiply
    169.80x = 184.57 × 184.57
  4. Step 4: Simplify right side
    169.80x = 34,066.20
  5. Step 5: Solve for x
    x = 34,066.20/169.80
  6. Step 6: Final answer
    x = 200.62

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.