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Finding the Third Proportional to 119,609 and 246,751

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Solution

The third proportional to 119,609 and 246,751 is: 509,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,609 : 246,751 = 246,751 : x
  2. Step 2: Convert to fraction form
    119,609/246,751 = 246,751/x
  3. Step 3: Cross multiply
    119,609x = 246,751 × 246,751
  4. Step 4: Simplify right side
    119,609x = 60,886,056,001
  5. Step 5: Solve for x
    x = 60,886,056,001/119,609
  6. Step 6: Final answer
    x = 509,042.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.