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Finding the Third Proportional to 179,876 and 263,982

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Solution

The third proportional to 179,876 and 263,982 is: 387,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,876 : 263,982 = 263,982 : x
  2. Step 2: Convert to fraction form
    179,876/263,982 = 263,982/x
  3. Step 3: Cross multiply
    179,876x = 263,982 × 263,982
  4. Step 4: Simplify right side
    179,876x = 69,686,496,324
  5. Step 5: Solve for x
    x = 69,686,496,324/179,876
  6. Step 6: Final answer
    x = 387,414.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.