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Finding the Third Proportional to 150,436 and 326,806

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Solution

The third proportional to 150,436 and 326,806 is: 709,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,436 : 326,806 = 326,806 : x
  2. Step 2: Convert to fraction form
    150,436/326,806 = 326,806/x
  3. Step 3: Cross multiply
    150,436x = 326,806 × 326,806
  4. Step 4: Simplify right side
    150,436x = 106,802,161,636
  5. Step 5: Solve for x
    x = 106,802,161,636/150,436
  6. Step 6: Final answer
    x = 709,950.82

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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.