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Finding the Third Proportional to 173,270 and 372,325

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Solution

The third proportional to 173,270 and 372,325 is: 800,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,270 : 372,325 = 372,325 : x
  2. Step 2: Convert to fraction form
    173,270/372,325 = 372,325/x
  3. Step 3: Cross multiply
    173,270x = 372,325 × 372,325
  4. Step 4: Simplify right side
    173,270x = 138,625,905,625
  5. Step 5: Solve for x
    x = 138,625,905,625/173,270
  6. Step 6: Final answer
    x = 800,057.17

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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.