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Finding the Third Proportional to 181,321 and 394,901

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Solution

The third proportional to 181,321 and 394,901 is: 860,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,321 : 394,901 = 394,901 : x
  2. Step 2: Convert to fraction form
    181,321/394,901 = 394,901/x
  3. Step 3: Cross multiply
    181,321x = 394,901 × 394,901
  4. Step 4: Simplify right side
    181,321x = 155,946,799,801
  5. Step 5: Solve for x
    x = 155,946,799,801/181,321
  6. Step 6: Final answer
    x = 860,059.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.