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Finding the Third Proportional to 146.97 and 323.37

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Solution

The third proportional to 146.97 and 323.37 is: 711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.97 : 323.37 = 323.37 : x
  2. Step 2: Convert to fraction form
    146.97/323.37 = 323.37/x
  3. Step 3: Cross multiply
    146.97x = 323.37 × 323.37
  4. Step 4: Simplify right side
    146.97x = 104,566.34
  5. Step 5: Solve for x
    x = 104,566.34/146.97
  6. Step 6: Final answer
    x = 711.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.