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Finding the Third Proportional to 221.44 and 475.13

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Solution

The third proportional to 221.44 and 475.13 is: 1,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 475.13 = 475.13 : x
  2. Step 2: Convert to fraction form
    221.44/475.13 = 475.13/x
  3. Step 3: Cross multiply
    221.44x = 475.13 × 475.13
  4. Step 4: Simplify right side
    221.44x = 225,743.77
  5. Step 5: Solve for x
    x = 225,743.77/221.44
  6. Step 6: Final answer
    x = 1,019.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.