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Finding the Third Proportional to 189,864 and 409,104

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Solution

The third proportional to 189,864 and 409,104 is: 881,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,864 : 409,104 = 409,104 : x
  2. Step 2: Convert to fraction form
    189,864/409,104 = 409,104/x
  3. Step 3: Cross multiply
    189,864x = 409,104 × 409,104
  4. Step 4: Simplify right side
    189,864x = 167,366,082,816
  5. Step 5: Solve for x
    x = 167,366,082,816/189,864
  6. Step 6: Final answer
    x = 881,505.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.