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Finding the Third Proportional to 102,177 and 222,744

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Solution

The third proportional to 102,177 and 222,744 is: 485,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,177 : 222,744 = 222,744 : x
  2. Step 2: Convert to fraction form
    102,177/222,744 = 222,744/x
  3. Step 3: Cross multiply
    102,177x = 222,744 × 222,744
  4. Step 4: Simplify right side
    102,177x = 49,614,889,536
  5. Step 5: Solve for x
    x = 49,614,889,536/102,177
  6. Step 6: Final answer
    x = 485,577.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.