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Finding the Third Proportional to 150,267 and 323,859

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Solution

The third proportional to 150,267 and 323,859 is: 697,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,267 : 323,859 = 323,859 : x
  2. Step 2: Convert to fraction form
    150,267/323,859 = 323,859/x
  3. Step 3: Cross multiply
    150,267x = 323,859 × 323,859
  4. Step 4: Simplify right side
    150,267x = 104,884,651,881
  5. Step 5: Solve for x
    x = 104,884,651,881/150,267
  6. Step 6: Final answer
    x = 697,988.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.