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Finding the Third Proportional to 186.36 and 202.97

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Solution

The third proportional to 186.36 and 202.97 is: 221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.36 : 202.97 = 202.97 : x
  2. Step 2: Convert to fraction form
    186.36/202.97 = 202.97/x
  3. Step 3: Cross multiply
    186.36x = 202.97 × 202.97
  4. Step 4: Simplify right side
    186.36x = 41,198.69
  5. Step 5: Solve for x
    x = 41,198.69/186.36
  6. Step 6: Final answer
    x = 221.07

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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.