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Finding the Third Proportional to 329.25 and 758.16

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Solution

The third proportional to 329.25 and 758.16 is: 1,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.25 : 758.16 = 758.16 : x
  2. Step 2: Convert to fraction form
    329.25/758.16 = 758.16/x
  3. Step 3: Cross multiply
    329.25x = 758.16 × 758.16
  4. Step 4: Simplify right side
    329.25x = 574,800.90
  5. Step 5: Solve for x
    x = 574,800.90/329.25
  6. Step 6: Final answer
    x = 1,745.79

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.