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Finding the Third Proportional to 171,408 and 368,568

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Solution

The third proportional to 171,408 and 368,568 is: 792,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,408 : 368,568 = 368,568 : x
  2. Step 2: Convert to fraction form
    171,408/368,568 = 368,568/x
  3. Step 3: Cross multiply
    171,408x = 368,568 × 368,568
  4. Step 4: Simplify right side
    171,408x = 135,842,370,624
  5. Step 5: Solve for x
    x = 135,842,370,624/171,408
  6. Step 6: Final answer
    x = 792,508.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.