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Finding the Third Proportional to 188,892 and 408,231.56

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Solution

The third proportional to 188,892 and 408,231.56 is: 882,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,892 : 408,231.56 = 408,231.56 : x
  2. Step 2: Convert to fraction form
    188,892/408,231.56 = 408,231.56/x
  3. Step 3: Cross multiply
    188,892x = 408,231.56 × 408,231.56
  4. Step 4: Simplify right side
    188,892x = 166,653,008,621.19
  5. Step 5: Solve for x
    x = 166,653,008,621.19/188,892
  6. Step 6: Final answer
    x = 882,266.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.