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Finding the Third Proportional to 166,750 and 365,123

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Solution

The third proportional to 166,750 and 365,123 is: 799,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,750 : 365,123 = 365,123 : x
  2. Step 2: Convert to fraction form
    166,750/365,123 = 365,123/x
  3. Step 3: Cross multiply
    166,750x = 365,123 × 365,123
  4. Step 4: Simplify right side
    166,750x = 133,314,805,129
  5. Step 5: Solve for x
    x = 133,314,805,129/166,750
  6. Step 6: Final answer
    x = 799,489.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.