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Finding the Third Proportional to 222,186.38 and 478,091.25

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Solution

The third proportional to 222,186.38 and 478,091.25 is: 1,028,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,186.38 : 478,091.25 = 478,091.25 : x
  2. Step 2: Convert to fraction form
    222,186.38/478,091.25 = 478,091.25/x
  3. Step 3: Cross multiply
    222,186.38x = 478,091.25 × 478,091.25
  4. Step 4: Simplify right side
    222,186.38x = 228,571,243,326.56
  5. Step 5: Solve for x
    x = 228,571,243,326.56/222,186.38
  6. Step 6: Final answer
    x = 1,028,736.54

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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.