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Finding the Third Proportional to 223.45 and 475.74

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Solution

The third proportional to 223.45 and 475.74 is: 1,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.45 : 475.74 = 475.74 : x
  2. Step 2: Convert to fraction form
    223.45/475.74 = 475.74/x
  3. Step 3: Cross multiply
    223.45x = 475.74 × 475.74
  4. Step 4: Simplify right side
    223.45x = 226,325.29
  5. Step 5: Solve for x
    x = 226,325.29/223.45
  6. Step 6: Final answer
    x = 1,012.86

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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.