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Finding the Third Proportional to 222,181.31 and 335,234.53

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Solution

The third proportional to 222,181.31 and 335,234.53 is: 505,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,181.31 : 335,234.53 = 335,234.53 : x
  2. Step 2: Convert to fraction form
    222,181.31/335,234.53 = 335,234.53/x
  3. Step 3: Cross multiply
    222,181.31x = 335,234.53 × 335,234.53
  4. Step 4: Simplify right side
    222,181.31x = 112,382,190,942.41
  5. Step 5: Solve for x
    x = 112,382,190,942.41/222,181.31
  6. Step 6: Final answer
    x = 505,812.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.