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Finding the Third Proportional to 181,467 and 394,929

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Solution

The third proportional to 181,467 and 394,929 is: 859,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,467 : 394,929 = 394,929 : x
  2. Step 2: Convert to fraction form
    181,467/394,929 = 394,929/x
  3. Step 3: Cross multiply
    181,467x = 394,929 × 394,929
  4. Step 4: Simplify right side
    181,467x = 155,968,915,041
  5. Step 5: Solve for x
    x = 155,968,915,041/181,467
  6. Step 6: Final answer
    x = 859,489.14

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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.