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Finding the Third Proportional to 168,192 and 260,388

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Solution

The third proportional to 168,192 and 260,388 is: 403,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,192 : 260,388 = 260,388 : x
  2. Step 2: Convert to fraction form
    168,192/260,388 = 260,388/x
  3. Step 3: Cross multiply
    168,192x = 260,388 × 260,388
  4. Step 4: Simplify right side
    168,192x = 67,801,910,544
  5. Step 5: Solve for x
    x = 67,801,910,544/168,192
  6. Step 6: Final answer
    x = 403,122.09

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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.