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Finding the Third Proportional to 222,789.23 and 335,254.57

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Solution

The third proportional to 222,789.23 and 335,254.57 is: 504,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,789.23 : 335,254.57 = 335,254.57 : x
  2. Step 2: Convert to fraction form
    222,789.23/335,254.57 = 335,254.57/x
  3. Step 3: Cross multiply
    222,789.23x = 335,254.57 × 335,254.57
  4. Step 4: Simplify right side
    222,789.23x = 112,395,626,915.42
  5. Step 5: Solve for x
    x = 112,395,626,915.42/222,789.23
  6. Step 6: Final answer
    x = 504,493.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.