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Finding the Third Proportional to 80,288 and 166,948

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Solution

The third proportional to 80,288 and 166,948 is: 347,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,288 : 166,948 = 166,948 : x
  2. Step 2: Convert to fraction form
    80,288/166,948 = 166,948/x
  3. Step 3: Cross multiply
    80,288x = 166,948 × 166,948
  4. Step 4: Simplify right side
    80,288x = 27,871,634,704
  5. Step 5: Solve for x
    x = 27,871,634,704/80,288
  6. Step 6: Final answer
    x = 347,145.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.