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Finding the Third Proportional to 186.75 and 261.22

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Solution

The third proportional to 186.75 and 261.22 is: 365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.75 : 261.22 = 261.22 : x
  2. Step 2: Convert to fraction form
    186.75/261.22 = 261.22/x
  3. Step 3: Cross multiply
    186.75x = 261.22 × 261.22
  4. Step 4: Simplify right side
    186.75x = 68,235.24
  5. Step 5: Solve for x
    x = 68,235.24/186.75
  6. Step 6: Final answer
    x = 365.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.