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Finding the Third Proportional to 116.44 and 301.97

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Solution

The third proportional to 116.44 and 301.97 is: 783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.44 : 301.97 = 301.97 : x
  2. Step 2: Convert to fraction form
    116.44/301.97 = 301.97/x
  3. Step 3: Cross multiply
    116.44x = 301.97 × 301.97
  4. Step 4: Simplify right side
    116.44x = 91,185.13
  5. Step 5: Solve for x
    x = 91,185.13/116.44
  6. Step 6: Final answer
    x = 783.13

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.