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Finding the Third Proportional to 180,003.94 and 393,906.38

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Solution

The third proportional to 180,003.94 and 393,906.38 is: 861,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.94 : 393,906.38 = 393,906.38 : x
  2. Step 2: Convert to fraction form
    180,003.94/393,906.38 = 393,906.38/x
  3. Step 3: Cross multiply
    180,003.94x = 393,906.38 × 393,906.38
  4. Step 4: Simplify right side
    180,003.94x = 155,162,232,265.64
  5. Step 5: Solve for x
    x = 155,162,232,265.64/180,003.94
  6. Step 6: Final answer
    x = 861,993.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.