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Finding the Third Proportional to 226.53 and 482.73

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Solution

The third proportional to 226.53 and 482.73 is: 1,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 482.73 = 482.73 : x
  2. Step 2: Convert to fraction form
    226.53/482.73 = 482.73/x
  3. Step 3: Cross multiply
    226.53x = 482.73 × 482.73
  4. Step 4: Simplify right side
    226.53x = 233,028.71
  5. Step 5: Solve for x
    x = 233,028.71/226.53
  6. Step 6: Final answer
    x = 1,028.69

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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.