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Finding the Third Proportional to 186.25 and 273.25

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Solution

The third proportional to 186.25 and 273.25 is: 400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.25 : 273.25 = 273.25 : x
  2. Step 2: Convert to fraction form
    186.25/273.25 = 273.25/x
  3. Step 3: Cross multiply
    186.25x = 273.25 × 273.25
  4. Step 4: Simplify right side
    186.25x = 74,665.56
  5. Step 5: Solve for x
    x = 74,665.56/186.25
  6. Step 6: Final answer
    x = 400.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.