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Finding the Third Proportional to 118,504.69 and 259,849.69

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Solution

The third proportional to 118,504.69 and 259,849.69 is: 569,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,504.69 : 259,849.69 = 259,849.69 : x
  2. Step 2: Convert to fraction form
    118,504.69/259,849.69 = 259,849.69/x
  3. Step 3: Cross multiply
    118,504.69x = 259,849.69 × 259,849.69
  4. Step 4: Simplify right side
    118,504.69x = 67,521,860,093.85
  5. Step 5: Solve for x
    x = 67,521,860,093.85/118,504.69
  6. Step 6: Final answer
    x = 569,782.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.