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Finding the Third Proportional to 182,000 and 393,596

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Solution

The third proportional to 182,000 and 393,596 is: 851,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,000 : 393,596 = 393,596 : x
  2. Step 2: Convert to fraction form
    182,000/393,596 = 393,596/x
  3. Step 3: Cross multiply
    182,000x = 393,596 × 393,596
  4. Step 4: Simplify right side
    182,000x = 154,917,811,216
  5. Step 5: Solve for x
    x = 154,917,811,216/182,000
  6. Step 6: Final answer
    x = 851,196.76

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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.