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Finding the Third Proportional to 122,401.13 and 259,498.69

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Solution

The third proportional to 122,401.13 and 259,498.69 is: 550,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,401.13 : 259,498.69 = 259,498.69 : x
  2. Step 2: Convert to fraction form
    122,401.13/259,498.69 = 259,498.69/x
  3. Step 3: Cross multiply
    122,401.13x = 259,498.69 × 259,498.69
  4. Step 4: Simplify right side
    122,401.13x = 67,339,568,814.22
  5. Step 5: Solve for x
    x = 67,339,568,814.22/122,401.13
  6. Step 6: Final answer
    x = 550,154.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.