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Finding the Third Proportional to 106,491 and 231,774

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Solution

The third proportional to 106,491 and 231,774 is: 504,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,491 : 231,774 = 231,774 : x
  2. Step 2: Convert to fraction form
    106,491/231,774 = 231,774/x
  3. Step 3: Cross multiply
    106,491x = 231,774 × 231,774
  4. Step 4: Simplify right side
    106,491x = 53,719,187,076
  5. Step 5: Solve for x
    x = 53,719,187,076/106,491
  6. Step 6: Final answer
    x = 504,448.14

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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.