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Finding the Third Proportional to 173,192 and 270,722

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Solution

The third proportional to 173,192 and 270,722 is: 423,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,192 : 270,722 = 270,722 : x
  2. Step 2: Convert to fraction form
    173,192/270,722 = 270,722/x
  3. Step 3: Cross multiply
    173,192x = 270,722 × 270,722
  4. Step 4: Simplify right side
    173,192x = 73,290,401,284
  5. Step 5: Solve for x
    x = 73,290,401,284/173,192
  6. Step 6: Final answer
    x = 423,174.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.