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Finding the Third Proportional to 108,222 and 239,799

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Solution

The third proportional to 108,222 and 239,799 is: 531,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,222 : 239,799 = 239,799 : x
  2. Step 2: Convert to fraction form
    108,222/239,799 = 239,799/x
  3. Step 3: Cross multiply
    108,222x = 239,799 × 239,799
  4. Step 4: Simplify right side
    108,222x = 57,503,560,401
  5. Step 5: Solve for x
    x = 57,503,560,401/108,222
  6. Step 6: Final answer
    x = 531,348.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.