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Finding the Third Proportional to 222,662.25 and 467,194.50

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Solution

The third proportional to 222,662.25 and 467,194.50 is: 980,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,662.25 : 467,194.50 = 467,194.50 : x
  2. Step 2: Convert to fraction form
    222,662.25/467,194.50 = 467,194.50/x
  3. Step 3: Cross multiply
    222,662.25x = 467,194.50 × 467,194.50
  4. Step 4: Simplify right side
    222,662.25x = 218,270,700,830.25
  5. Step 5: Solve for x
    x = 218,270,700,830.25/222,662.25
  6. Step 6: Final answer
    x = 980,277.08

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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.