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Finding the Third Proportional to 183,063 and 394,215

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Solution

The third proportional to 183,063 and 394,215 is: 848,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,063 : 394,215 = 394,215 : x
  2. Step 2: Convert to fraction form
    183,063/394,215 = 394,215/x
  3. Step 3: Cross multiply
    183,063x = 394,215 × 394,215
  4. Step 4: Simplify right side
    183,063x = 155,405,466,225
  5. Step 5: Solve for x
    x = 155,405,466,225/183,063
  6. Step 6: Final answer
    x = 848,917.95

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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.