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Finding the Third Proportional to 83.53 and 174.66

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Solution

The third proportional to 83.53 and 174.66 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.53 : 174.66 = 174.66 : x
  2. Step 2: Convert to fraction form
    83.53/174.66 = 174.66/x
  3. Step 3: Cross multiply
    83.53x = 174.66 × 174.66
  4. Step 4: Simplify right side
    83.53x = 30,504.81
  5. Step 5: Solve for x
    x = 30,504.81/83.53
  6. Step 6: Final answer
    x = 365.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.