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Finding the Third Proportional to 173,217 and 372,219

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Solution

The third proportional to 173,217 and 372,219 is: 799,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,217 : 372,219 = 372,219 : x
  2. Step 2: Convert to fraction form
    173,217/372,219 = 372,219/x
  3. Step 3: Cross multiply
    173,217x = 372,219 × 372,219
  4. Step 4: Simplify right side
    173,217x = 138,546,983,961
  5. Step 5: Solve for x
    x = 138,546,983,961/173,217
  6. Step 6: Final answer
    x = 799,846.34

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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.