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Finding the Third Proportional to 172,296 and 372,267

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Solution

The third proportional to 172,296 and 372,267 is: 804,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,296 : 372,267 = 372,267 : x
  2. Step 2: Convert to fraction form
    172,296/372,267 = 372,267/x
  3. Step 3: Cross multiply
    172,296x = 372,267 × 372,267
  4. Step 4: Simplify right side
    172,296x = 138,582,719,289
  5. Step 5: Solve for x
    x = 138,582,719,289/172,296
  6. Step 6: Final answer
    x = 804,329.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.