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Finding the Third Proportional to 183,972 and 394,200

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Solution

The third proportional to 183,972 and 394,200 is: 844,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,972 : 394,200 = 394,200 : x
  2. Step 2: Convert to fraction form
    183,972/394,200 = 394,200/x
  3. Step 3: Cross multiply
    183,972x = 394,200 × 394,200
  4. Step 4: Simplify right side
    183,972x = 155,393,640,000
  5. Step 5: Solve for x
    x = 155,393,640,000/183,972
  6. Step 6: Final answer
    x = 844,659.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.