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Finding the Third Proportional to 188,082 and 288,027

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Solution

The third proportional to 188,082 and 288,027 is: 441,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,082 : 288,027 = 288,027 : x
  2. Step 2: Convert to fraction form
    188,082/288,027 = 288,027/x
  3. Step 3: Cross multiply
    188,082x = 288,027 × 288,027
  4. Step 4: Simplify right side
    188,082x = 82,959,552,729
  5. Step 5: Solve for x
    x = 82,959,552,729/188,082
  6. Step 6: Final answer
    x = 441,081.83

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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.