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Finding the Third Proportional to 226,846 and 273,259

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Solution

The third proportional to 226,846 and 273,259 is: 329,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,846 : 273,259 = 273,259 : x
  2. Step 2: Convert to fraction form
    226,846/273,259 = 273,259/x
  3. Step 3: Cross multiply
    226,846x = 273,259 × 273,259
  4. Step 4: Simplify right side
    226,846x = 74,670,481,081
  5. Step 5: Solve for x
    x = 74,670,481,081/226,846
  6. Step 6: Final answer
    x = 329,168.16

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.