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Finding the Third Proportional to 183,243 and 394,187

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Solution

The third proportional to 183,243 and 394,187 is: 847,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,243 : 394,187 = 394,187 : x
  2. Step 2: Convert to fraction form
    183,243/394,187 = 394,187/x
  3. Step 3: Cross multiply
    183,243x = 394,187 × 394,187
  4. Step 4: Simplify right side
    183,243x = 155,383,390,969
  5. Step 5: Solve for x
    x = 155,383,390,969/183,243
  6. Step 6: Final answer
    x = 847,963.58

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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.