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Finding the Third Proportional to 106,197 and 231,714

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Solution

The third proportional to 106,197 and 231,714 is: 505,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,197 : 231,714 = 231,714 : x
  2. Step 2: Convert to fraction form
    106,197/231,714 = 231,714/x
  3. Step 3: Cross multiply
    106,197x = 231,714 × 231,714
  4. Step 4: Simplify right side
    106,197x = 53,691,377,796
  5. Step 5: Solve for x
    x = 53,691,377,796/106,197
  6. Step 6: Final answer
    x = 505,582.81

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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.