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Finding the Third Proportional to 189,568 and 414,848

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Solution

The third proportional to 189,568 and 414,848 is: 907,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,568 : 414,848 = 414,848 : x
  2. Step 2: Convert to fraction form
    189,568/414,848 = 414,848/x
  3. Step 3: Cross multiply
    189,568x = 414,848 × 414,848
  4. Step 4: Simplify right side
    189,568x = 172,098,863,104
  5. Step 5: Solve for x
    x = 172,098,863,104/189,568
  6. Step 6: Final answer
    x = 907,847.65

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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.