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Finding the Third Proportional to 113,631 and 247,998

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Solution

The third proportional to 113,631 and 247,998 is: 541,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,631 : 247,998 = 247,998 : x
  2. Step 2: Convert to fraction form
    113,631/247,998 = 247,998/x
  3. Step 3: Cross multiply
    113,631x = 247,998 × 247,998
  4. Step 4: Simplify right side
    113,631x = 61,503,008,004
  5. Step 5: Solve for x
    x = 61,503,008,004/113,631
  6. Step 6: Final answer
    x = 541,252.02

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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.