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Finding the Third Proportional to 83,652 and 178,940

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Solution

The third proportional to 83,652 and 178,940 is: 382,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,652 : 178,940 = 178,940 : x
  2. Step 2: Convert to fraction form
    83,652/178,940 = 178,940/x
  3. Step 3: Cross multiply
    83,652x = 178,940 × 178,940
  4. Step 4: Simplify right side
    83,652x = 32,019,523,600
  5. Step 5: Solve for x
    x = 32,019,523,600/83,652
  6. Step 6: Final answer
    x = 382,770.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.