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Finding the Third Proportional to 222,660.56 and 467,189.44

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Solution

The third proportional to 222,660.56 and 467,189.44 is: 980,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,660.56 : 467,189.44 = 467,189.44 : x
  2. Step 2: Convert to fraction form
    222,660.56/467,189.44 = 467,189.44/x
  3. Step 3: Cross multiply
    222,660.56x = 467,189.44 × 467,189.44
  4. Step 4: Simplify right side
    222,660.56x = 218,265,970,511.57
  5. Step 5: Solve for x
    x = 218,265,970,511.57/222,660.56
  6. Step 6: Final answer
    x = 980,263.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.