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Finding the Third Proportional to 106,239 and 231,795

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Solution

The third proportional to 106,239 and 231,795 is: 505,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,239 : 231,795 = 231,795 : x
  2. Step 2: Convert to fraction form
    106,239/231,795 = 231,795/x
  3. Step 3: Cross multiply
    106,239x = 231,795 × 231,795
  4. Step 4: Simplify right side
    106,239x = 53,728,922,025
  5. Step 5: Solve for x
    x = 53,728,922,025/106,239
  6. Step 6: Final answer
    x = 505,736.33

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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.