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Finding the Third Proportional to 166,334 and 361,100

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Solution

The third proportional to 166,334 and 361,100 is: 783,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,334 : 361,100 = 361,100 : x
  2. Step 2: Convert to fraction form
    166,334/361,100 = 361,100/x
  3. Step 3: Cross multiply
    166,334x = 361,100 × 361,100
  4. Step 4: Simplify right side
    166,334x = 130,393,210,000
  5. Step 5: Solve for x
    x = 130,393,210,000/166,334
  6. Step 6: Final answer
    x = 783,923.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.