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Finding the Third Proportional to 215.34 and 475.41

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Solution

The third proportional to 215.34 and 475.41 is: 1,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 475.41 = 475.41 : x
  2. Step 2: Convert to fraction form
    215.34/475.41 = 475.41/x
  3. Step 3: Cross multiply
    215.34x = 475.41 × 475.41
  4. Step 4: Simplify right side
    215.34x = 226,011.10
  5. Step 5: Solve for x
    x = 226,011.10/215.34
  6. Step 6: Final answer
    x = 1,049.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.