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Finding the Third Proportional to 166,909 and 371,134

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Solution

The third proportional to 166,909 and 371,134 is: 825,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,909 : 371,134 = 371,134 : x
  2. Step 2: Convert to fraction form
    166,909/371,134 = 371,134/x
  3. Step 3: Cross multiply
    166,909x = 371,134 × 371,134
  4. Step 4: Simplify right side
    166,909x = 137,740,445,956
  5. Step 5: Solve for x
    x = 137,740,445,956/166,909
  6. Step 6: Final answer
    x = 825,242.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.