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Finding the Third Proportional to 150,344 and 326,920

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Solution

The third proportional to 150,344 and 326,920 is: 710,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,344 : 326,920 = 326,920 : x
  2. Step 2: Convert to fraction form
    150,344/326,920 = 326,920/x
  3. Step 3: Cross multiply
    150,344x = 326,920 × 326,920
  4. Step 4: Simplify right side
    150,344x = 106,876,686,400
  5. Step 5: Solve for x
    x = 106,876,686,400/150,344
  6. Step 6: Final answer
    x = 710,880.96

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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.