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Finding the Third Proportional to 102,502 and 225,183

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Solution

The third proportional to 102,502 and 225,183 is: 494,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,502 : 225,183 = 225,183 : x
  2. Step 2: Convert to fraction form
    102,502/225,183 = 225,183/x
  3. Step 3: Cross multiply
    102,502x = 225,183 × 225,183
  4. Step 4: Simplify right side
    102,502x = 50,707,383,489
  5. Step 5: Solve for x
    x = 50,707,383,489/102,502
  6. Step 6: Final answer
    x = 494,696.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.