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Finding the Third Proportional to 181,578 and 387,861

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Solution

The third proportional to 181,578 and 387,861 is: 828,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,578 : 387,861 = 387,861 : x
  2. Step 2: Convert to fraction form
    181,578/387,861 = 387,861/x
  3. Step 3: Cross multiply
    181,578x = 387,861 × 387,861
  4. Step 4: Simplify right side
    181,578x = 150,436,155,321
  5. Step 5: Solve for x
    x = 150,436,155,321/181,578
  6. Step 6: Final answer
    x = 828,493.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.