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Finding the Third Proportional to 83,408.50 and 183,419

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Solution

The third proportional to 83,408.50 and 183,419 is: 403,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408.50 : 183,419 = 183,419 : x
  2. Step 2: Convert to fraction form
    83,408.50/183,419 = 183,419/x
  3. Step 3: Cross multiply
    83,408.50x = 183,419 × 183,419
  4. Step 4: Simplify right side
    83,408.50x = 33,642,529,561
  5. Step 5: Solve for x
    x = 33,642,529,561/83,408.50
  6. Step 6: Final answer
    x = 403,346.54

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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.