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Finding the Third Proportional to 200,966 and 276,843

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Solution

The third proportional to 200,966 and 276,843 is: 381,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966 : 276,843 = 276,843 : x
  2. Step 2: Convert to fraction form
    200,966/276,843 = 276,843/x
  3. Step 3: Cross multiply
    200,966x = 276,843 × 276,843
  4. Step 4: Simplify right side
    200,966x = 76,642,046,649
  5. Step 5: Solve for x
    x = 76,642,046,649/200,966
  6. Step 6: Final answer
    x = 381,368.22

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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.