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Finding the Third Proportional to 151,916 and 327,194

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Solution

The third proportional to 151,916 and 327,194 is: 704,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,916 : 327,194 = 327,194 : x
  2. Step 2: Convert to fraction form
    151,916/327,194 = 327,194/x
  3. Step 3: Cross multiply
    151,916x = 327,194 × 327,194
  4. Step 4: Simplify right side
    151,916x = 107,055,913,636
  5. Step 5: Solve for x
    x = 107,055,913,636/151,916
  6. Step 6: Final answer
    x = 704,704.66

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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.