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Finding the Third Proportional to 181,256 and 276,656

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Solution

The third proportional to 181,256 and 276,656 is: 422,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,256 : 276,656 = 276,656 : x
  2. Step 2: Convert to fraction form
    181,256/276,656 = 276,656/x
  3. Step 3: Cross multiply
    181,256x = 276,656 × 276,656
  4. Step 4: Simplify right side
    181,256x = 76,538,542,336
  5. Step 5: Solve for x
    x = 76,538,542,336/181,256
  6. Step 6: Final answer
    x = 422,267.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.