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Finding the Third Proportional to 103,842 and 225,909

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Solution

The third proportional to 103,842 and 225,909 is: 491,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,842 : 225,909 = 225,909 : x
  2. Step 2: Convert to fraction form
    103,842/225,909 = 225,909/x
  3. Step 3: Cross multiply
    103,842x = 225,909 × 225,909
  4. Step 4: Simplify right side
    103,842x = 51,034,876,281
  5. Step 5: Solve for x
    x = 51,034,876,281/103,842
  6. Step 6: Final answer
    x = 491,466.62

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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.