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Finding the Third Proportional to 222,744.94 and 336,020.91

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Solution

The third proportional to 222,744.94 and 336,020.91 is: 506,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,744.94 : 336,020.91 = 336,020.91 : x
  2. Step 2: Convert to fraction form
    222,744.94/336,020.91 = 336,020.91/x
  3. Step 3: Cross multiply
    222,744.94x = 336,020.91 × 336,020.91
  4. Step 4: Simplify right side
    222,744.94x = 112,910,049,437.07
  5. Step 5: Solve for x
    x = 112,910,049,437.07/222,744.94
  6. Step 6: Final answer
    x = 506,902.88

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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.