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Finding the Third Proportional to 166,673 and 238,170

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Solution

The third proportional to 166,673 and 238,170 is: 340,336.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,673 : 238,170 = 238,170 : x
  2. Step 2: Convert to fraction form
    166,673/238,170 = 238,170/x
  3. Step 3: Cross multiply
    166,673x = 238,170 × 238,170
  4. Step 4: Simplify right side
    166,673x = 56,724,948,900
  5. Step 5: Solve for x
    x = 56,724,948,900/166,673
  6. Step 6: Final answer
    x = 340,336.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.