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Finding the Third Proportional to 150,164 and 326,286

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Solution

The third proportional to 150,164 and 326,286 is: 708,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,164 : 326,286 = 326,286 : x
  2. Step 2: Convert to fraction form
    150,164/326,286 = 326,286/x
  3. Step 3: Cross multiply
    150,164x = 326,286 × 326,286
  4. Step 4: Simplify right side
    150,164x = 106,462,553,796
  5. Step 5: Solve for x
    x = 106,462,553,796/150,164
  6. Step 6: Final answer
    x = 708,975.21

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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.