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Finding the Third Proportional to 221,793.19 and 347,474.81

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Solution

The third proportional to 221,793.19 and 347,474.81 is: 544,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,793.19 : 347,474.81 = 347,474.81 : x
  2. Step 2: Convert to fraction form
    221,793.19/347,474.81 = 347,474.81/x
  3. Step 3: Cross multiply
    221,793.19x = 347,474.81 × 347,474.81
  4. Step 4: Simplify right side
    221,793.19x = 120,738,745,321.91
  5. Step 5: Solve for x
    x = 120,738,745,321.91/221,793.19
  6. Step 6: Final answer
    x = 544,375.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.