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Finding the Third Proportional to 226,936 and 376,906

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Solution

The third proportional to 226,936 and 376,906 is: 625,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,936 : 376,906 = 376,906 : x
  2. Step 2: Convert to fraction form
    226,936/376,906 = 376,906/x
  3. Step 3: Cross multiply
    226,936x = 376,906 × 376,906
  4. Step 4: Simplify right side
    226,936x = 142,058,132,836
  5. Step 5: Solve for x
    x = 142,058,132,836/226,936
  6. Step 6: Final answer
    x = 625,983.24

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.