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Finding the Third Proportional to 104,427 and 227,670

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Solution

The third proportional to 104,427 and 227,670 is: 496,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,427 : 227,670 = 227,670 : x
  2. Step 2: Convert to fraction form
    104,427/227,670 = 227,670/x
  3. Step 3: Cross multiply
    104,427x = 227,670 × 227,670
  4. Step 4: Simplify right side
    104,427x = 51,833,628,900
  5. Step 5: Solve for x
    x = 51,833,628,900/104,427
  6. Step 6: Final answer
    x = 496,362.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.