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Finding the Third Proportional to 183,682 and 269,231

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Solution

The third proportional to 183,682 and 269,231 is: 394,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,682 : 269,231 = 269,231 : x
  2. Step 2: Convert to fraction form
    183,682/269,231 = 269,231/x
  3. Step 3: Cross multiply
    183,682x = 269,231 × 269,231
  4. Step 4: Simplify right side
    183,682x = 72,485,331,361
  5. Step 5: Solve for x
    x = 72,485,331,361/183,682
  6. Step 6: Final answer
    x = 394,624.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.