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Finding the Third Proportional to 183,238 and 394,177

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Solution

The third proportional to 183,238 and 394,177 is: 847,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,238 : 394,177 = 394,177 : x
  2. Step 2: Convert to fraction form
    183,238/394,177 = 394,177/x
  3. Step 3: Cross multiply
    183,238x = 394,177 × 394,177
  4. Step 4: Simplify right side
    183,238x = 155,375,507,329
  5. Step 5: Solve for x
    x = 155,375,507,329/183,238
  6. Step 6: Final answer
    x = 847,943.70

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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.