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Finding the Third Proportional to 104,988 and 226,824

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Solution

The third proportional to 104,988 and 226,824 is: 490,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,988 : 226,824 = 226,824 : x
  2. Step 2: Convert to fraction form
    104,988/226,824 = 226,824/x
  3. Step 3: Cross multiply
    104,988x = 226,824 × 226,824
  4. Step 4: Simplify right side
    104,988x = 51,449,126,976
  5. Step 5: Solve for x
    x = 51,449,126,976/104,988
  6. Step 6: Final answer
    x = 490,047.69

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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.