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Finding the Third Proportional to 168,188 and 259,718

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Solution

The third proportional to 168,188 and 259,718 is: 401,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,188 : 259,718 = 259,718 : x
  2. Step 2: Convert to fraction form
    168,188/259,718 = 259,718/x
  3. Step 3: Cross multiply
    168,188x = 259,718 × 259,718
  4. Step 4: Simplify right side
    168,188x = 67,453,439,524
  5. Step 5: Solve for x
    x = 67,453,439,524/168,188
  6. Step 6: Final answer
    x = 401,059.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.