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Finding the Third Proportional to 171,824 and 262,839

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Solution

The third proportional to 171,824 and 262,839 is: 402,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,824 : 262,839 = 262,839 : x
  2. Step 2: Convert to fraction form
    171,824/262,839 = 262,839/x
  3. Step 3: Cross multiply
    171,824x = 262,839 × 262,839
  4. Step 4: Simplify right side
    171,824x = 69,084,339,921
  5. Step 5: Solve for x
    x = 69,084,339,921/171,824
  6. Step 6: Final answer
    x = 402,064.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.