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Finding the Third Proportional to 104,954.25 and 226,491

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Solution

The third proportional to 104,954.25 and 226,491 is: 488,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,954.25 : 226,491 = 226,491 : x
  2. Step 2: Convert to fraction form
    104,954.25/226,491 = 226,491/x
  3. Step 3: Cross multiply
    104,954.25x = 226,491 × 226,491
  4. Step 4: Simplify right side
    104,954.25x = 51,298,173,081
  5. Step 5: Solve for x
    x = 51,298,173,081/104,954.25
  6. Step 6: Final answer
    x = 488,766.99

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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.