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Finding the Third Proportional to 150,156 and 326,446

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Solution

The third proportional to 150,156 and 326,446 is: 709,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,156 : 326,446 = 326,446 : x
  2. Step 2: Convert to fraction form
    150,156/326,446 = 326,446/x
  3. Step 3: Cross multiply
    150,156x = 326,446 × 326,446
  4. Step 4: Simplify right side
    150,156x = 106,566,990,916
  5. Step 5: Solve for x
    x = 106,566,990,916/150,156
  6. Step 6: Final answer
    x = 709,708.51

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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.