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Finding the Third Proportional to 181,112 and 393,338

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Solution

The third proportional to 181,112 and 393,338 is: 854,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,112 : 393,338 = 393,338 : x
  2. Step 2: Convert to fraction form
    181,112/393,338 = 393,338/x
  3. Step 3: Cross multiply
    181,112x = 393,338 × 393,338
  4. Step 4: Simplify right side
    181,112x = 154,714,782,244
  5. Step 5: Solve for x
    x = 154,714,782,244/181,112
  6. Step 6: Final answer
    x = 854,249.21

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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.