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Finding the Third Proportional to 166,000 and 238,632

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Solution

The third proportional to 166,000 and 238,632 is: 343,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,000 : 238,632 = 238,632 : x
  2. Step 2: Convert to fraction form
    166,000/238,632 = 238,632/x
  3. Step 3: Cross multiply
    166,000x = 238,632 × 238,632
  4. Step 4: Simplify right side
    166,000x = 56,945,231,424
  5. Step 5: Solve for x
    x = 56,945,231,424/166,000
  6. Step 6: Final answer
    x = 343,043.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.