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Finding the Third Proportional to 114.44 and 164.47

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Solution

The third proportional to 114.44 and 164.47 is: 236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.44 : 164.47 = 164.47 : x
  2. Step 2: Convert to fraction form
    114.44/164.47 = 164.47/x
  3. Step 3: Cross multiply
    114.44x = 164.47 × 164.47
  4. Step 4: Simplify right side
    114.44x = 27,049.97
  5. Step 5: Solve for x
    x = 27,049.97/114.44
  6. Step 6: Final answer
    x = 236.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.