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Finding the Third Proportional to 353.25 and 464.75

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Solution

The third proportional to 353.25 and 464.75 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.25 : 464.75 = 464.75 : x
  2. Step 2: Convert to fraction form
    353.25/464.75 = 464.75/x
  3. Step 3: Cross multiply
    353.25x = 464.75 × 464.75
  4. Step 4: Simplify right side
    353.25x = 215,992.56
  5. Step 5: Solve for x
    x = 215,992.56/353.25
  6. Step 6: Final answer
    x = 611.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.