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Finding the Third Proportional to 186.25 and 401.75

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Solution

The third proportional to 186.25 and 401.75 is: 866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.25 : 401.75 = 401.75 : x
  2. Step 2: Convert to fraction form
    186.25/401.75 = 401.75/x
  3. Step 3: Cross multiply
    186.25x = 401.75 × 401.75
  4. Step 4: Simplify right side
    186.25x = 161,403.06
  5. Step 5: Solve for x
    x = 161,403.06/186.25
  6. Step 6: Final answer
    x = 866.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.