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Finding the Third Proportional to 104,183 and 226,239

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Solution

The third proportional to 104,183 and 226,239 is: 491,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,183 : 226,239 = 226,239 : x
  2. Step 2: Convert to fraction form
    104,183/226,239 = 226,239/x
  3. Step 3: Cross multiply
    104,183x = 226,239 × 226,239
  4. Step 4: Simplify right side
    104,183x = 51,184,085,121
  5. Step 5: Solve for x
    x = 51,184,085,121/104,183
  6. Step 6: Final answer
    x = 491,290.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.