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Finding the Third Proportional to 151.02 and 321.82

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Solution

The third proportional to 151.02 and 321.82 is: 685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 321.82 = 321.82 : x
  2. Step 2: Convert to fraction form
    151.02/321.82 = 321.82/x
  3. Step 3: Cross multiply
    151.02x = 321.82 × 321.82
  4. Step 4: Simplify right side
    151.02x = 103,568.31
  5. Step 5: Solve for x
    x = 103,568.31/151.02
  6. Step 6: Final answer
    x = 685.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.