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Finding the Third Proportional to 151,912 and 327,197

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Solution

The third proportional to 151,912 and 327,197 is: 704,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,912 : 327,197 = 327,197 : x
  2. Step 2: Convert to fraction form
    151,912/327,197 = 327,197/x
  3. Step 3: Cross multiply
    151,912x = 327,197 × 327,197
  4. Step 4: Simplify right side
    151,912x = 107,057,876,809
  5. Step 5: Solve for x
    x = 107,057,876,809/151,912
  6. Step 6: Final answer
    x = 704,736.14

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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.