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Finding the Third Proportional to 168,367.50 and 261,404.63

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Solution

The third proportional to 168,367.50 and 261,404.63 is: 405,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,367.50 : 261,404.63 = 261,404.63 : x
  2. Step 2: Convert to fraction form
    168,367.50/261,404.63 = 261,404.63/x
  3. Step 3: Cross multiply
    168,367.50x = 261,404.63 × 261,404.63
  4. Step 4: Simplify right side
    168,367.50x = 68,332,377,971.39
  5. Step 5: Solve for x
    x = 68,332,377,971.39/168,367.50
  6. Step 6: Final answer
    x = 405,852.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.