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Finding the Third Proportional to 83,938 and 180,299

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Solution

The third proportional to 83,938 and 180,299 is: 387,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,938 : 180,299 = 180,299 : x
  2. Step 2: Convert to fraction form
    83,938/180,299 = 180,299/x
  3. Step 3: Cross multiply
    83,938x = 180,299 × 180,299
  4. Step 4: Simplify right side
    83,938x = 32,507,729,401
  5. Step 5: Solve for x
    x = 32,507,729,401/83,938
  6. Step 6: Final answer
    x = 387,282.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.