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Finding the Third Proportional to 150,142 and 326,244

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Solution

The third proportional to 150,142 and 326,244 is: 708,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,142 : 326,244 = 326,244 : x
  2. Step 2: Convert to fraction form
    150,142/326,244 = 326,244/x
  3. Step 3: Cross multiply
    150,142x = 326,244 × 326,244
  4. Step 4: Simplify right side
    150,142x = 106,435,147,536
  5. Step 5: Solve for x
    x = 106,435,147,536/150,142
  6. Step 6: Final answer
    x = 708,896.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.