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Finding the Third Proportional to 181,236 and 393,615

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Solution

The third proportional to 181,236 and 393,615 is: 854,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,236 : 393,615 = 393,615 : x
  2. Step 2: Convert to fraction form
    181,236/393,615 = 393,615/x
  3. Step 3: Cross multiply
    181,236x = 393,615 × 393,615
  4. Step 4: Simplify right side
    181,236x = 154,932,768,225
  5. Step 5: Solve for x
    x = 154,932,768,225/181,236
  6. Step 6: Final answer
    x = 854,867.51

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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.