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Finding the Third Proportional to 183,892 and 394,029

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Solution

The third proportional to 183,892 and 394,029 is: 844,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,892 : 394,029 = 394,029 : x
  2. Step 2: Convert to fraction form
    183,892/394,029 = 394,029/x
  3. Step 3: Cross multiply
    183,892x = 394,029 × 394,029
  4. Step 4: Simplify right side
    183,892x = 155,258,852,841
  5. Step 5: Solve for x
    x = 155,258,852,841/183,892
  6. Step 6: Final answer
    x = 844,293.68

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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.