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Finding the Third Proportional to 223.13 and 481.31

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Solution

The third proportional to 223.13 and 481.31 is: 1,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.13 : 481.31 = 481.31 : x
  2. Step 2: Convert to fraction form
    223.13/481.31 = 481.31/x
  3. Step 3: Cross multiply
    223.13x = 481.31 × 481.31
  4. Step 4: Simplify right side
    223.13x = 231,661.72
  5. Step 5: Solve for x
    x = 231,661.72/223.13
  6. Step 6: Final answer
    x = 1,038.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.