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Finding the Third Proportional to 122,341 and 268,739

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Solution

The third proportional to 122,341 and 268,739 is: 590,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,341 : 268,739 = 268,739 : x
  2. Step 2: Convert to fraction form
    122,341/268,739 = 268,739/x
  3. Step 3: Cross multiply
    122,341x = 268,739 × 268,739
  4. Step 4: Simplify right side
    122,341x = 72,220,650,121
  5. Step 5: Solve for x
    x = 72,220,650,121/122,341
  6. Step 6: Final answer
    x = 590,322.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.