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Finding the Third Proportional to 226.94 and 504.47

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Solution

The third proportional to 226.94 and 504.47 is: 1,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.94 : 504.47 = 504.47 : x
  2. Step 2: Convert to fraction form
    226.94/504.47 = 504.47/x
  3. Step 3: Cross multiply
    226.94x = 504.47 × 504.47
  4. Step 4: Simplify right side
    226.94x = 254,488.72
  5. Step 5: Solve for x
    x = 254,488.72/226.94
  6. Step 6: Final answer
    x = 1,121.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.