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Finding the Third Proportional to 171,797 and 256,902

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Solution

The third proportional to 171,797 and 256,902 is: 384,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,797 : 256,902 = 256,902 : x
  2. Step 2: Convert to fraction form
    171,797/256,902 = 256,902/x
  3. Step 3: Cross multiply
    171,797x = 256,902 × 256,902
  4. Step 4: Simplify right side
    171,797x = 65,998,637,604
  5. Step 5: Solve for x
    x = 65,998,637,604/171,797
  6. Step 6: Final answer
    x = 384,166.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.