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Finding the Third Proportional to 168,856 and 267,378

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Solution

The third proportional to 168,856 and 267,378 is: 423,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,856 : 267,378 = 267,378 : x
  2. Step 2: Convert to fraction form
    168,856/267,378 = 267,378/x
  3. Step 3: Cross multiply
    168,856x = 267,378 × 267,378
  4. Step 4: Simplify right side
    168,856x = 71,490,994,884
  5. Step 5: Solve for x
    x = 71,490,994,884/168,856
  6. Step 6: Final answer
    x = 423,384.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.