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Finding the Third Proportional to 173,206 and 372,197

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Solution

The third proportional to 173,206 and 372,197 is: 799,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,206 : 372,197 = 372,197 : x
  2. Step 2: Convert to fraction form
    173,206/372,197 = 372,197/x
  3. Step 3: Cross multiply
    173,206x = 372,197 × 372,197
  4. Step 4: Simplify right side
    173,206x = 138,530,606,809
  5. Step 5: Solve for x
    x = 138,530,606,809/173,206
  6. Step 6: Final answer
    x = 799,802.59

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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.