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Finding the Third Proportional to 94.36 and 186.14

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Solution

The third proportional to 94.36 and 186.14 is: 367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.36 : 186.14 = 186.14 : x
  2. Step 2: Convert to fraction form
    94.36/186.14 = 186.14/x
  3. Step 3: Cross multiply
    94.36x = 186.14 × 186.14
  4. Step 4: Simplify right side
    94.36x = 34,648.33
  5. Step 5: Solve for x
    x = 34,648.33/94.36
  6. Step 6: Final answer
    x = 367.20

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.