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Finding the Third Proportional to 113,518 and 246,686

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Solution

The third proportional to 113,518 and 246,686 is: 536,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,518 : 246,686 = 246,686 : x
  2. Step 2: Convert to fraction form
    113,518/246,686 = 246,686/x
  3. Step 3: Cross multiply
    113,518x = 246,686 × 246,686
  4. Step 4: Simplify right side
    113,518x = 60,853,982,596
  5. Step 5: Solve for x
    x = 60,853,982,596/113,518
  6. Step 6: Final answer
    x = 536,073.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.