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Finding the Third Proportional to 103,636 and 225,724

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Solution

The third proportional to 103,636 and 225,724 is: 491,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,636 : 225,724 = 225,724 : x
  2. Step 2: Convert to fraction form
    103,636/225,724 = 225,724/x
  3. Step 3: Cross multiply
    103,636x = 225,724 × 225,724
  4. Step 4: Simplify right side
    103,636x = 50,951,324,176
  5. Step 5: Solve for x
    x = 50,951,324,176/103,636
  6. Step 6: Final answer
    x = 491,637.31

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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.