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Finding the Third Proportional to 122,194.31 and 255,561.19

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Solution

The third proportional to 122,194.31 and 255,561.19 is: 534,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,194.31 : 255,561.19 = 255,561.19 : x
  2. Step 2: Convert to fraction form
    122,194.31/255,561.19 = 255,561.19/x
  3. Step 3: Cross multiply
    122,194.31x = 255,561.19 × 255,561.19
  4. Step 4: Simplify right side
    122,194.31x = 65,311,520,556.41
  5. Step 5: Solve for x
    x = 65,311,520,556.41/122,194.31
  6. Step 6: Final answer
    x = 534,489.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.