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Finding the Third Proportional to 171,801 and 256,908

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Solution

The third proportional to 171,801 and 256,908 is: 384,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,801 : 256,908 = 256,908 : x
  2. Step 2: Convert to fraction form
    171,801/256,908 = 256,908/x
  3. Step 3: Cross multiply
    171,801x = 256,908 × 256,908
  4. Step 4: Simplify right side
    171,801x = 66,001,720,464
  5. Step 5: Solve for x
    x = 66,001,720,464/171,801
  6. Step 6: Final answer
    x = 384,175.41

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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.