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Finding the Third Proportional to 133,842 and 204,997

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Solution

The third proportional to 133,842 and 204,997 is: 313,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,842 : 204,997 = 204,997 : x
  2. Step 2: Convert to fraction form
    133,842/204,997 = 204,997/x
  3. Step 3: Cross multiply
    133,842x = 204,997 × 204,997
  4. Step 4: Simplify right side
    133,842x = 42,023,770,009
  5. Step 5: Solve for x
    x = 42,023,770,009/133,842
  6. Step 6: Final answer
    x = 313,980.44

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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.