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Finding the Third Proportional to 166,656 and 238,149

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Solution

The third proportional to 166,656 and 238,149 is: 340,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,656 : 238,149 = 238,149 : x
  2. Step 2: Convert to fraction form
    166,656/238,149 = 238,149/x
  3. Step 3: Cross multiply
    166,656x = 238,149 × 238,149
  4. Step 4: Simplify right side
    166,656x = 56,714,946,201
  5. Step 5: Solve for x
    x = 56,714,946,201/166,656
  6. Step 6: Final answer
    x = 340,311.46

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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.