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Finding the Third Proportional to 189,176 and 395,874

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Solution

The third proportional to 189,176 and 395,874 is: 828,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,176 : 395,874 = 395,874 : x
  2. Step 2: Convert to fraction form
    189,176/395,874 = 395,874/x
  3. Step 3: Cross multiply
    189,176x = 395,874 × 395,874
  4. Step 4: Simplify right side
    189,176x = 156,716,223,876
  5. Step 5: Solve for x
    x = 156,716,223,876/189,176
  6. Step 6: Final answer
    x = 828,414.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.