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Finding the Third Proportional to 188,151.38 and 268,212.56

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Solution

The third proportional to 188,151.38 and 268,212.56 is: 382,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,151.38 : 268,212.56 = 268,212.56 : x
  2. Step 2: Convert to fraction form
    188,151.38/268,212.56 = 268,212.56/x
  3. Step 3: Cross multiply
    188,151.38x = 268,212.56 × 268,212.56
  4. Step 4: Simplify right side
    188,151.38x = 71,937,978,682.82
  5. Step 5: Solve for x
    x = 71,937,978,682.82/188,151.38
  6. Step 6: Final answer
    x = 382,340.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.