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Finding the Third Proportional to 226,806.75 and 353,999.25

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Solution

The third proportional to 226,806.75 and 353,999.25 is: 552,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,806.75 : 353,999.25 = 353,999.25 : x
  2. Step 2: Convert to fraction form
    226,806.75/353,999.25 = 353,999.25/x
  3. Step 3: Cross multiply
    226,806.75x = 353,999.25 × 353,999.25
  4. Step 4: Simplify right side
    226,806.75x = 125,315,469,000.56
  5. Step 5: Solve for x
    x = 125,315,469,000.56/226,806.75
  6. Step 6: Final answer
    x = 552,520.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.