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Finding the Third Proportional to 150,816 and 343,344

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Solution

The third proportional to 150,816 and 343,344 is: 781,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,816 : 343,344 = 343,344 : x
  2. Step 2: Convert to fraction form
    150,816/343,344 = 343,344/x
  3. Step 3: Cross multiply
    150,816x = 343,344 × 343,344
  4. Step 4: Simplify right side
    150,816x = 117,885,102,336
  5. Step 5: Solve for x
    x = 117,885,102,336/150,816
  6. Step 6: Final answer
    x = 781,648.51

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.