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Finding the Third Proportional to 166,192 and 356,000

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Solution

The third proportional to 166,192 and 356,000 is: 762,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,192 : 356,000 = 356,000 : x
  2. Step 2: Convert to fraction form
    166,192/356,000 = 356,000/x
  3. Step 3: Cross multiply
    166,192x = 356,000 × 356,000
  4. Step 4: Simplify right side
    166,192x = 126,736,000,000
  5. Step 5: Solve for x
    x = 126,736,000,000/166,192
  6. Step 6: Final answer
    x = 762,587.85

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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.