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Finding the Third Proportional to 113,766 and 244,974

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Solution

The third proportional to 113,766 and 244,974 is: 527,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,766 : 244,974 = 244,974 : x
  2. Step 2: Convert to fraction form
    113,766/244,974 = 244,974/x
  3. Step 3: Cross multiply
    113,766x = 244,974 × 244,974
  4. Step 4: Simplify right side
    113,766x = 60,012,260,676
  5. Step 5: Solve for x
    x = 60,012,260,676/113,766
  6. Step 6: Final answer
    x = 527,506.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.