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Finding the Third Proportional to 181,945 and 394,970

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Solution

The third proportional to 181,945 and 394,970 is: 857,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,945 : 394,970 = 394,970 : x
  2. Step 2: Convert to fraction form
    181,945/394,970 = 394,970/x
  3. Step 3: Cross multiply
    181,945x = 394,970 × 394,970
  4. Step 4: Simplify right side
    181,945x = 156,001,300,900
  5. Step 5: Solve for x
    x = 156,001,300,900/181,945
  6. Step 6: Final answer
    x = 857,409.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.