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Finding the Third Proportional to 100,568 and 217,832

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Solution

The third proportional to 100,568 and 217,832 is: 471,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,568 : 217,832 = 217,832 : x
  2. Step 2: Convert to fraction form
    100,568/217,832 = 217,832/x
  3. Step 3: Cross multiply
    100,568x = 217,832 × 217,832
  4. Step 4: Simplify right side
    100,568x = 47,450,780,224
  5. Step 5: Solve for x
    x = 47,450,780,224/100,568
  6. Step 6: Final answer
    x = 471,827.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.