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Finding the Third Proportional to 116.44 and 185.63

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Solution

The third proportional to 116.44 and 185.63 is: 295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.44 : 185.63 = 185.63 : x
  2. Step 2: Convert to fraction form
    116.44/185.63 = 185.63/x
  3. Step 3: Cross multiply
    116.44x = 185.63 × 185.63
  4. Step 4: Simplify right side
    116.44x = 34,456.64
  5. Step 5: Solve for x
    x = 34,456.64/116.44
  6. Step 6: Final answer
    x = 295.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.