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Finding the Third Proportional to 223.17 and 475.24

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Solution

The third proportional to 223.17 and 475.24 is: 1,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.17 : 475.24 = 475.24 : x
  2. Step 2: Convert to fraction form
    223.17/475.24 = 475.24/x
  3. Step 3: Cross multiply
    223.17x = 475.24 × 475.24
  4. Step 4: Simplify right side
    223.17x = 225,855.14
  5. Step 5: Solve for x
    x = 225,855.14/223.17
  6. Step 6: Final answer
    x = 1,012.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.