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Finding the Third Proportional to 200,956 and 276,824

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Solution

The third proportional to 200,956 and 276,824 is: 381,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,956 : 276,824 = 276,824 : x
  2. Step 2: Convert to fraction form
    200,956/276,824 = 276,824/x
  3. Step 3: Cross multiply
    200,956x = 276,824 × 276,824
  4. Step 4: Simplify right side
    200,956x = 76,631,526,976
  5. Step 5: Solve for x
    x = 76,631,526,976/200,956
  6. Step 6: Final answer
    x = 381,334.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.