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Finding the Third Proportional to 113,964.75 and 247,997.25

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Solution

The third proportional to 113,964.75 and 247,997.25 is: 539,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,964.75 : 247,997.25 = 247,997.25 : x
  2. Step 2: Convert to fraction form
    113,964.75/247,997.25 = 247,997.25/x
  3. Step 3: Cross multiply
    113,964.75x = 247,997.25 × 247,997.25
  4. Step 4: Simplify right side
    113,964.75x = 61,502,636,007.56
  5. Step 5: Solve for x
    x = 61,502,636,007.56/113,964.75
  6. Step 6: Final answer
    x = 539,663.68

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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.