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Finding the Third Proportional to 103,833 and 225,891

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Solution

The third proportional to 103,833 and 225,891 is: 491,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,833 : 225,891 = 225,891 : x
  2. Step 2: Convert to fraction form
    103,833/225,891 = 225,891/x
  3. Step 3: Cross multiply
    103,833x = 225,891 × 225,891
  4. Step 4: Simplify right side
    103,833x = 51,026,743,881
  5. Step 5: Solve for x
    x = 51,026,743,881/103,833
  6. Step 6: Final answer
    x = 491,430.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.