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Finding the Third Proportional to 166,906 and 362,126

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Solution

The third proportional to 166,906 and 362,126 is: 785,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,906 : 362,126 = 362,126 : x
  2. Step 2: Convert to fraction form
    166,906/362,126 = 362,126/x
  3. Step 3: Cross multiply
    166,906x = 362,126 × 362,126
  4. Step 4: Simplify right side
    166,906x = 131,135,239,876
  5. Step 5: Solve for x
    x = 131,135,239,876/166,906
  6. Step 6: Final answer
    x = 785,683.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.