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Finding the Third Proportional to 122,586 and 263,937

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Solution

The third proportional to 122,586 and 263,937 is: 568,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,586 : 263,937 = 263,937 : x
  2. Step 2: Convert to fraction form
    122,586/263,937 = 263,937/x
  3. Step 3: Cross multiply
    122,586x = 263,937 × 263,937
  4. Step 4: Simplify right side
    122,586x = 69,662,739,969
  5. Step 5: Solve for x
    x = 69,662,739,969/122,586
  6. Step 6: Final answer
    x = 568,276.48

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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.