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Finding the Third Proportional to 83,242 and 183,451

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Solution

The third proportional to 83,242 and 183,451 is: 404,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242 : 183,451 = 183,451 : x
  2. Step 2: Convert to fraction form
    83,242/183,451 = 183,451/x
  3. Step 3: Cross multiply
    83,242x = 183,451 × 183,451
  4. Step 4: Simplify right side
    83,242x = 33,654,269,401
  5. Step 5: Solve for x
    x = 33,654,269,401/83,242
  6. Step 6: Final answer
    x = 404,294.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.