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Finding the Third Proportional to 222,159 and 481,234.50

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Solution

The third proportional to 222,159 and 481,234.50 is: 1,042,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,159 : 481,234.50 = 481,234.50 : x
  2. Step 2: Convert to fraction form
    222,159/481,234.50 = 481,234.50/x
  3. Step 3: Cross multiply
    222,159x = 481,234.50 × 481,234.50
  4. Step 4: Simplify right side
    222,159x = 231,586,643,990.25
  5. Step 5: Solve for x
    x = 231,586,643,990.25/222,159
  6. Step 6: Final answer
    x = 1,042,436.47

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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.