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Finding the Third Proportional to 222,675 and 467,232

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Solution

The third proportional to 222,675 and 467,232 is: 980,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,675 : 467,232 = 467,232 : x
  2. Step 2: Convert to fraction form
    222,675/467,232 = 467,232/x
  3. Step 3: Cross multiply
    222,675x = 467,232 × 467,232
  4. Step 4: Simplify right side
    222,675x = 218,305,741,824
  5. Step 5: Solve for x
    x = 218,305,741,824/222,675
  6. Step 6: Final answer
    x = 980,378.32

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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.