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Finding the Third Proportional to 226,824.75 and 335,063.25

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Solution

The third proportional to 226,824.75 and 335,063.25 is: 494,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,824.75 : 335,063.25 = 335,063.25 : x
  2. Step 2: Convert to fraction form
    226,824.75/335,063.25 = 335,063.25/x
  3. Step 3: Cross multiply
    226,824.75x = 335,063.25 × 335,063.25
  4. Step 4: Simplify right side
    226,824.75x = 112,267,381,500.56
  5. Step 5: Solve for x
    x = 112,267,381,500.56/226,824.75
  6. Step 6: Final answer
    x = 494,952.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.