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Finding the Third Proportional to 146.53 and 231.47

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Solution

The third proportional to 146.53 and 231.47 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.53 : 231.47 = 231.47 : x
  2. Step 2: Convert to fraction form
    146.53/231.47 = 231.47/x
  3. Step 3: Cross multiply
    146.53x = 231.47 × 231.47
  4. Step 4: Simplify right side
    146.53x = 53,577.78
  5. Step 5: Solve for x
    x = 53,577.78/146.53
  6. Step 6: Final answer
    x = 365.64

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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.