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Finding the Third Proportional to 83,381 and 183,369

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Solution

The third proportional to 83,381 and 183,369 is: 403,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,381 : 183,369 = 183,369 : x
  2. Step 2: Convert to fraction form
    83,381/183,369 = 183,369/x
  3. Step 3: Cross multiply
    83,381x = 183,369 × 183,369
  4. Step 4: Simplify right side
    83,381x = 33,624,190,161
  5. Step 5: Solve for x
    x = 33,624,190,161/83,381
  6. Step 6: Final answer
    x = 403,259.62

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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.