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Finding the Third Proportional to 171,992 and 364,796

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Solution

The third proportional to 171,992 and 364,796 is: 773,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,992 : 364,796 = 364,796 : x
  2. Step 2: Convert to fraction form
    171,992/364,796 = 364,796/x
  3. Step 3: Cross multiply
    171,992x = 364,796 × 364,796
  4. Step 4: Simplify right side
    171,992x = 133,076,121,616
  5. Step 5: Solve for x
    x = 133,076,121,616/171,992
  6. Step 6: Final answer
    x = 773,734.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.