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Finding the Third Proportional to 183,469 and 394,064

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Solution

The third proportional to 183,469 and 394,064 is: 846,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,469 : 394,064 = 394,064 : x
  2. Step 2: Convert to fraction form
    183,469/394,064 = 394,064/x
  3. Step 3: Cross multiply
    183,469x = 394,064 × 394,064
  4. Step 4: Simplify right side
    183,469x = 155,286,436,096
  5. Step 5: Solve for x
    x = 155,286,436,096/183,469
  6. Step 6: Final answer
    x = 846,390.60

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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.