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Finding the Third Proportional to 151,911 and 327,195

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Solution

The third proportional to 151,911 and 327,195 is: 704,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,911 : 327,195 = 327,195 : x
  2. Step 2: Convert to fraction form
    151,911/327,195 = 327,195/x
  3. Step 3: Cross multiply
    151,911x = 327,195 × 327,195
  4. Step 4: Simplify right side
    151,911x = 107,056,568,025
  5. Step 5: Solve for x
    x = 107,056,568,025/151,911
  6. Step 6: Final answer
    x = 704,732.17

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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.