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Finding the Third Proportional to 222,664.50 and 467,201.25

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Solution

The third proportional to 222,664.50 and 467,201.25 is: 980,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,664.50 : 467,201.25 = 467,201.25 : x
  2. Step 2: Convert to fraction form
    222,664.50/467,201.25 = 467,201.25/x
  3. Step 3: Cross multiply
    222,664.50x = 467,201.25 × 467,201.25
  4. Step 4: Simplify right side
    222,664.50x = 218,277,008,001.56
  5. Step 5: Solve for x
    x = 218,277,008,001.56/222,664.50
  6. Step 6: Final answer
    x = 980,295.50

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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.