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Finding the Third Proportional to 168,842 and 267,357

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Solution

The third proportional to 168,842 and 267,357 is: 423,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,842 : 267,357 = 267,357 : x
  2. Step 2: Convert to fraction form
    168,842/267,357 = 267,357/x
  3. Step 3: Cross multiply
    168,842x = 267,357 × 267,357
  4. Step 4: Simplify right side
    168,842x = 71,479,765,449
  5. Step 5: Solve for x
    x = 71,479,765,449/168,842
  6. Step 6: Final answer
    x = 423,352.99

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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.