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Finding the Third Proportional to 113,462 and 247,698

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Solution

The third proportional to 113,462 and 247,698 is: 540,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,462 : 247,698 = 247,698 : x
  2. Step 2: Convert to fraction form
    113,462/247,698 = 247,698/x
  3. Step 3: Cross multiply
    113,462x = 247,698 × 247,698
  4. Step 4: Simplify right side
    113,462x = 61,354,299,204
  5. Step 5: Solve for x
    x = 61,354,299,204/113,462
  6. Step 6: Final answer
    x = 540,747.56

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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.