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Finding the Third Proportional to 186.05 and 400.36

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Solution

The third proportional to 186.05 and 400.36 is: 861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 400.36 = 400.36 : x
  2. Step 2: Convert to fraction form
    186.05/400.36 = 400.36/x
  3. Step 3: Cross multiply
    186.05x = 400.36 × 400.36
  4. Step 4: Simplify right side
    186.05x = 160,287.63
  5. Step 5: Solve for x
    x = 160,287.63/186.05
  6. Step 6: Final answer
    x = 861.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.