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Finding the Third Proportional to 189,816 and 385,086

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Solution

The third proportional to 189,816 and 385,086 is: 781,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,816 : 385,086 = 385,086 : x
  2. Step 2: Convert to fraction form
    189,816/385,086 = 385,086/x
  3. Step 3: Cross multiply
    189,816x = 385,086 × 385,086
  4. Step 4: Simplify right side
    189,816x = 148,291,227,396
  5. Step 5: Solve for x
    x = 148,291,227,396/189,816
  6. Step 6: Final answer
    x = 781,236.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.