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Finding the Third Proportional to 116.23 and 186.96

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Solution

The third proportional to 116.23 and 186.96 is: 300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 186.96 = 186.96 : x
  2. Step 2: Convert to fraction form
    116.23/186.96 = 186.96/x
  3. Step 3: Cross multiply
    116.23x = 186.96 × 186.96
  4. Step 4: Simplify right side
    116.23x = 34,954.39
  5. Step 5: Solve for x
    x = 34,954.39/116.23
  6. Step 6: Final answer
    x = 300.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.