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Finding the Third Proportional to 188,843 and 407,848

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Solution

The third proportional to 188,843 and 407,848 is: 880,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,843 : 407,848 = 407,848 : x
  2. Step 2: Convert to fraction form
    188,843/407,848 = 407,848/x
  3. Step 3: Cross multiply
    188,843x = 407,848 × 407,848
  4. Step 4: Simplify right side
    188,843x = 166,339,991,104
  5. Step 5: Solve for x
    x = 166,339,991,104/188,843
  6. Step 6: Final answer
    x = 880,837.47

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Why These Related Problems?

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