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Finding the Third Proportional to 109,057.50 and 227,997

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Solution

The third proportional to 109,057.50 and 227,997 is: 476,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,057.50 : 227,997 = 227,997 : x
  2. Step 2: Convert to fraction form
    109,057.50/227,997 = 227,997/x
  3. Step 3: Cross multiply
    109,057.50x = 227,997 × 227,997
  4. Step 4: Simplify right side
    109,057.50x = 51,982,632,009
  5. Step 5: Solve for x
    x = 51,982,632,009/109,057.50
  6. Step 6: Final answer
    x = 476,653.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.