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Finding the Third Proportional to 157,074 and 327,396

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Solution

The third proportional to 157,074 and 327,396 is: 682,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,074 : 327,396 = 327,396 : x
  2. Step 2: Convert to fraction form
    157,074/327,396 = 327,396/x
  3. Step 3: Cross multiply
    157,074x = 327,396 × 327,396
  4. Step 4: Simplify right side
    157,074x = 107,188,140,816
  5. Step 5: Solve for x
    x = 107,188,140,816/157,074
  6. Step 6: Final answer
    x = 682,405.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.