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Finding the Third Proportional to 213,916 and 320,874

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Solution

The third proportional to 213,916 and 320,874 is: 481,311

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,916 : 320,874 = 320,874 : x
  2. Step 2: Convert to fraction form
    213,916/320,874 = 320,874/x
  3. Step 3: Cross multiply
    213,916x = 320,874 × 320,874
  4. Step 4: Simplify right side
    213,916x = 102,960,123,876
  5. Step 5: Solve for x
    x = 102,960,123,876/213,916
  6. Step 6: Final answer
    x = 481,311

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.