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Finding the Third Proportional to 166,646 and 238,134

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Solution

The third proportional to 166,646 and 238,134 is: 340,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,646 : 238,134 = 238,134 : x
  2. Step 2: Convert to fraction form
    166,646/238,134 = 238,134/x
  3. Step 3: Cross multiply
    166,646x = 238,134 × 238,134
  4. Step 4: Simplify right side
    166,646x = 56,707,801,956
  5. Step 5: Solve for x
    x = 56,707,801,956/166,646
  6. Step 6: Final answer
    x = 340,289.01

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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.