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Finding the Third Proportional to 122,556.38 and 263,881.13

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Solution

The third proportional to 122,556.38 and 263,881.13 is: 568,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,556.38 : 263,881.13 = 263,881.13 : x
  2. Step 2: Convert to fraction form
    122,556.38/263,881.13 = 263,881.13/x
  3. Step 3: Cross multiply
    122,556.38x = 263,881.13 × 263,881.13
  4. Step 4: Simplify right side
    122,556.38x = 69,633,248,131.27
  5. Step 5: Solve for x
    x = 69,633,248,131.27/122,556.38
  6. Step 6: Final answer
    x = 568,173.20

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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.