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Finding the Third Proportional to 106,218 and 231,759

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Solution

The third proportional to 106,218 and 231,759 is: 505,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,218 : 231,759 = 231,759 : x
  2. Step 2: Convert to fraction form
    106,218/231,759 = 231,759/x
  3. Step 3: Cross multiply
    106,218x = 231,759 × 231,759
  4. Step 4: Simplify right side
    106,218x = 53,712,234,081
  5. Step 5: Solve for x
    x = 53,712,234,081/106,218
  6. Step 6: Final answer
    x = 505,679.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.