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Finding the Third Proportional to 213.26 and 449.30

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Solution

The third proportional to 213.26 and 449.30 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.26 : 449.30 = 449.30 : x
  2. Step 2: Convert to fraction form
    213.26/449.30 = 449.30/x
  3. Step 3: Cross multiply
    213.26x = 449.30 × 449.30
  4. Step 4: Simplify right side
    213.26x = 201,867.68
  5. Step 5: Solve for x
    x = 201,867.68/213.26
  6. Step 6: Final answer
    x = 946.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.