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Finding the Third Proportional to 183,224 and 394,150

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Solution

The third proportional to 183,224 and 394,150 is: 847,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,224 : 394,150 = 394,150 : x
  2. Step 2: Convert to fraction form
    183,224/394,150 = 394,150/x
  3. Step 3: Cross multiply
    183,224x = 394,150 × 394,150
  4. Step 4: Simplify right side
    183,224x = 155,354,222,500
  5. Step 5: Solve for x
    x = 155,354,222,500/183,224
  6. Step 6: Final answer
    x = 847,892.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.