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Finding the Third Proportional to 151.22 and 226.64

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Solution

The third proportional to 151.22 and 226.64 is: 339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.22 : 226.64 = 226.64 : x
  2. Step 2: Convert to fraction form
    151.22/226.64 = 226.64/x
  3. Step 3: Cross multiply
    151.22x = 226.64 × 226.64
  4. Step 4: Simplify right side
    151.22x = 51,365.97
  5. Step 5: Solve for x
    x = 51,365.97/151.22
  6. Step 6: Final answer
    x = 339.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.