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Finding the Third Proportional to 104,812 and 226,221

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Solution

The third proportional to 104,812 and 226,221 is: 488,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,812 : 226,221 = 226,221 : x
  2. Step 2: Convert to fraction form
    104,812/226,221 = 226,221/x
  3. Step 3: Cross multiply
    104,812x = 226,221 × 226,221
  4. Step 4: Simplify right side
    104,812x = 51,175,940,841
  5. Step 5: Solve for x
    x = 51,175,940,841/104,812
  6. Step 6: Final answer
    x = 488,264.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.