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Finding the Third Proportional to 193,604.55 and 419,380.03

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Solution

The third proportional to 193,604.55 and 419,380.03 is: 908,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,604.55 : 419,380.03 = 419,380.03 : x
  2. Step 2: Convert to fraction form
    193,604.55/419,380.03 = 419,380.03/x
  3. Step 3: Cross multiply
    193,604.55x = 419,380.03 × 419,380.03
  4. Step 4: Simplify right side
    193,604.55x = 175,879,610,611.25
  5. Step 5: Solve for x
    x = 175,879,610,611.25/193,604.55
  6. Step 6: Final answer
    x = 908,447.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.