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Finding the Third Proportional to 171,832 and 259,638

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Solution

The third proportional to 171,832 and 259,638 is: 392,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,832 : 259,638 = 259,638 : x
  2. Step 2: Convert to fraction form
    171,832/259,638 = 259,638/x
  3. Step 3: Cross multiply
    171,832x = 259,638 × 259,638
  4. Step 4: Simplify right side
    171,832x = 67,411,891,044
  5. Step 5: Solve for x
    x = 67,411,891,044/171,832
  6. Step 6: Final answer
    x = 392,312.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.