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Finding the Third Proportional to 226.41 and 511.73

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Solution

The third proportional to 226.41 and 511.73 is: 1,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.41 : 511.73 = 511.73 : x
  2. Step 2: Convert to fraction form
    226.41/511.73 = 511.73/x
  3. Step 3: Cross multiply
    226.41x = 511.73 × 511.73
  4. Step 4: Simplify right side
    226.41x = 261,872.07
  5. Step 5: Solve for x
    x = 261,872.07/226.41
  6. Step 6: Final answer
    x = 1,156.65

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.