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Finding the Third Proportional to 150,424.88 and 327,837.38

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Solution

The third proportional to 150,424.88 and 327,837.38 is: 714,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,424.88 : 327,837.38 = 327,837.38 : x
  2. Step 2: Convert to fraction form
    150,424.88/327,837.38 = 327,837.38/x
  3. Step 3: Cross multiply
    150,424.88x = 327,837.38 × 327,837.38
  4. Step 4: Simplify right side
    150,424.88x = 107,477,344,446.89
  5. Step 5: Solve for x
    x = 107,477,344,446.89/150,424.88
  6. Step 6: Final answer
    x = 714,491.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.