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Finding the Third Proportional to 352.25 and 847.25

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Solution

The third proportional to 352.25 and 847.25 is: 2,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.25 : 847.25 = 847.25 : x
  2. Step 2: Convert to fraction form
    352.25/847.25 = 847.25/x
  3. Step 3: Cross multiply
    352.25x = 847.25 × 847.25
  4. Step 4: Simplify right side
    352.25x = 717,832.56
  5. Step 5: Solve for x
    x = 717,832.56/352.25
  6. Step 6: Final answer
    x = 2,037.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.