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Finding the Third Proportional to 189,184 and 395,890

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Solution

The third proportional to 189,184 and 395,890 is: 828,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,184 : 395,890 = 395,890 : x
  2. Step 2: Convert to fraction form
    189,184/395,890 = 395,890/x
  3. Step 3: Cross multiply
    189,184x = 395,890 × 395,890
  4. Step 4: Simplify right side
    189,184x = 156,728,892,100
  5. Step 5: Solve for x
    x = 156,728,892,100/189,184
  6. Step 6: Final answer
    x = 828,446.87

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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.