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Finding the Third Proportional to 157,892 and 339,208

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Solution

The third proportional to 157,892 and 339,208 is: 728,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,892 : 339,208 = 339,208 : x
  2. Step 2: Convert to fraction form
    157,892/339,208 = 339,208/x
  3. Step 3: Cross multiply
    157,892x = 339,208 × 339,208
  4. Step 4: Simplify right side
    157,892x = 115,062,067,264
  5. Step 5: Solve for x
    x = 115,062,067,264/157,892
  6. Step 6: Final answer
    x = 728,739.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.