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Finding the Third Proportional to 80.02 and 186.68

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Solution

The third proportional to 80.02 and 186.68 is: 435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.02 : 186.68 = 186.68 : x
  2. Step 2: Convert to fraction form
    80.02/186.68 = 186.68/x
  3. Step 3: Cross multiply
    80.02x = 186.68 × 186.68
  4. Step 4: Simplify right side
    80.02x = 34,849.31
  5. Step 5: Solve for x
    x = 34,849.31/80.02
  6. Step 6: Final answer
    x = 435.53

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.