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Finding the Third Proportional to 116 and 185.75

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Solution

The third proportional to 116 and 185.75 is: 297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 185.75 = 185.75 : x
  2. Step 2: Convert to fraction form
    116/185.75 = 185.75/x
  3. Step 3: Cross multiply
    116x = 185.75 × 185.75
  4. Step 4: Simplify right side
    116x = 34,503.06
  5. Step 5: Solve for x
    x = 34,503.06/116
  6. Step 6: Final answer
    x = 297.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.