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Finding the Third Proportional to 159.75 and 182.81

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Solution

The third proportional to 159.75 and 182.81 is: 209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 182.81 = 182.81 : x
  2. Step 2: Convert to fraction form
    159.75/182.81 = 182.81/x
  3. Step 3: Cross multiply
    159.75x = 182.81 × 182.81
  4. Step 4: Simplify right side
    159.75x = 33,420.41
  5. Step 5: Solve for x
    x = 33,420.41/159.75
  6. Step 6: Final answer
    x = 209.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.