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Finding the Third Proportional to 166,676 and 238,174

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Solution

The third proportional to 166,676 and 238,174 is: 340,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,676 : 238,174 = 238,174 : x
  2. Step 2: Convert to fraction form
    166,676/238,174 = 238,174/x
  3. Step 3: Cross multiply
    166,676x = 238,174 × 238,174
  4. Step 4: Simplify right side
    166,676x = 56,726,854,276
  5. Step 5: Solve for x
    x = 56,726,854,276/166,676
  6. Step 6: Final answer
    x = 340,342.07

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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.