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Finding the Third Proportional to 222,156 and 481,227.75

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Solution

The third proportional to 222,156 and 481,227.75 is: 1,042,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,156 : 481,227.75 = 481,227.75 : x
  2. Step 2: Convert to fraction form
    222,156/481,227.75 = 481,227.75/x
  3. Step 3: Cross multiply
    222,156x = 481,227.75 × 481,227.75
  4. Step 4: Simplify right side
    222,156x = 231,580,147,370.06
  5. Step 5: Solve for x
    x = 231,580,147,370.06/222,156
  6. Step 6: Final answer
    x = 1,042,421.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.