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Finding the Third Proportional to 102,832 and 222,944

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Solution

The third proportional to 102,832 and 222,944 is: 483,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,832 : 222,944 = 222,944 : x
  2. Step 2: Convert to fraction form
    102,832/222,944 = 222,944/x
  3. Step 3: Cross multiply
    102,832x = 222,944 × 222,944
  4. Step 4: Simplify right side
    102,832x = 49,704,027,136
  5. Step 5: Solve for x
    x = 49,704,027,136/102,832
  6. Step 6: Final answer
    x = 483,351.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.