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Finding the Third Proportional to 226,872 and 333,756

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Solution

The third proportional to 226,872 and 333,756 is: 490,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,872 : 333,756 = 333,756 : x
  2. Step 2: Convert to fraction form
    226,872/333,756 = 333,756/x
  3. Step 3: Cross multiply
    226,872x = 333,756 × 333,756
  4. Step 4: Simplify right side
    226,872x = 111,393,067,536
  5. Step 5: Solve for x
    x = 111,393,067,536/226,872
  6. Step 6: Final answer
    x = 490,995.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.