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Finding the Third Proportional to 173,218 and 372,221

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Solution

The third proportional to 173,218 and 372,221 is: 799,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,218 : 372,221 = 372,221 : x
  2. Step 2: Convert to fraction form
    173,218/372,221 = 372,221/x
  3. Step 3: Cross multiply
    173,218x = 372,221 × 372,221
  4. Step 4: Simplify right side
    173,218x = 138,548,472,841
  5. Step 5: Solve for x
    x = 138,548,472,841/173,218
  6. Step 6: Final answer
    x = 799,850.32

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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.