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Finding the Third Proportional to 104,824 and 226,336

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Solution

The third proportional to 104,824 and 226,336 is: 488,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,824 : 226,336 = 226,336 : x
  2. Step 2: Convert to fraction form
    104,824/226,336 = 226,336/x
  3. Step 3: Cross multiply
    104,824x = 226,336 × 226,336
  4. Step 4: Simplify right side
    104,824x = 51,227,984,896
  5. Step 5: Solve for x
    x = 51,227,984,896/104,824
  6. Step 6: Final answer
    x = 488,704.73

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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.