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Finding the Third Proportional to 104,625 and 226,017

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Solution

The third proportional to 104,625 and 226,017 is: 488,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,625 : 226,017 = 226,017 : x
  2. Step 2: Convert to fraction form
    104,625/226,017 = 226,017/x
  3. Step 3: Cross multiply
    104,625x = 226,017 × 226,017
  4. Step 4: Simplify right side
    104,625x = 51,083,684,289
  5. Step 5: Solve for x
    x = 51,083,684,289/104,625
  6. Step 6: Final answer
    x = 488,255.05

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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.