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Finding the Third Proportional to 182,367 and 393,894

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Solution

The third proportional to 182,367 and 393,894 is: 850,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,367 : 393,894 = 393,894 : x
  2. Step 2: Convert to fraction form
    182,367/393,894 = 393,894/x
  3. Step 3: Cross multiply
    182,367x = 393,894 × 393,894
  4. Step 4: Simplify right side
    182,367x = 155,152,483,236
  5. Step 5: Solve for x
    x = 155,152,483,236/182,367
  6. Step 6: Final answer
    x = 850,770.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.