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Finding the Third Proportional to 146.07 and 231.24

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Solution

The third proportional to 146.07 and 231.24 is: 366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 231.24 = 231.24 : x
  2. Step 2: Convert to fraction form
    146.07/231.24 = 231.24/x
  3. Step 3: Cross multiply
    146.07x = 231.24 × 231.24
  4. Step 4: Simplify right side
    146.07x = 53,472.05
  5. Step 5: Solve for x
    x = 53,472.05/146.07
  6. Step 6: Final answer
    x = 366.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.