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Finding the Third Proportional to 183,675 and 269,223

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Solution

The third proportional to 183,675 and 269,223 is: 394,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,675 : 269,223 = 269,223 : x
  2. Step 2: Convert to fraction form
    183,675/269,223 = 269,223/x
  3. Step 3: Cross multiply
    183,675x = 269,223 × 269,223
  4. Step 4: Simplify right side
    183,675x = 72,481,023,729
  5. Step 5: Solve for x
    x = 72,481,023,729/183,675
  6. Step 6: Final answer
    x = 394,615.62

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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.