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Finding the Third Proportional to 103,706 and 226,183

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Solution

The third proportional to 103,706 and 226,183 is: 493,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,706 : 226,183 = 226,183 : x
  2. Step 2: Convert to fraction form
    103,706/226,183 = 226,183/x
  3. Step 3: Cross multiply
    103,706x = 226,183 × 226,183
  4. Step 4: Simplify right side
    103,706x = 51,158,749,489
  5. Step 5: Solve for x
    x = 51,158,749,489/103,706
  6. Step 6: Final answer
    x = 493,305.59

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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.