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Finding the Third Proportional to 181,340 and 394,944

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Solution

The third proportional to 181,340 and 394,944 is: 860,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,340 : 394,944 = 394,944 : x
  2. Step 2: Convert to fraction form
    181,340/394,944 = 394,944/x
  3. Step 3: Cross multiply
    181,340x = 394,944 × 394,944
  4. Step 4: Simplify right side
    181,340x = 155,980,763,136
  5. Step 5: Solve for x
    x = 155,980,763,136/181,340
  6. Step 6: Final answer
    x = 860,156.41

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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.