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Finding the Third Proportional to 103,601 and 222,306

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Solution

The third proportional to 103,601 and 222,306 is: 477,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,601 : 222,306 = 222,306 : x
  2. Step 2: Convert to fraction form
    103,601/222,306 = 222,306/x
  3. Step 3: Cross multiply
    103,601x = 222,306 × 222,306
  4. Step 4: Simplify right side
    103,601x = 49,419,957,636
  5. Step 5: Solve for x
    x = 49,419,957,636/103,601
  6. Step 6: Final answer
    x = 477,022.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.