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Finding the Third Proportional to 181,648 and 393,914

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Solution

The third proportional to 181,648 and 393,914 is: 854,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,648 : 393,914 = 393,914 : x
  2. Step 2: Convert to fraction form
    181,648/393,914 = 393,914/x
  3. Step 3: Cross multiply
    181,648x = 393,914 × 393,914
  4. Step 4: Simplify right side
    181,648x = 155,168,239,396
  5. Step 5: Solve for x
    x = 155,168,239,396/181,648
  6. Step 6: Final answer
    x = 854,224.87

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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.