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Finding the Third Proportional to 166,268 and 254,991

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Solution

The third proportional to 166,268 and 254,991 is: 391,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,268 : 254,991 = 254,991 : x
  2. Step 2: Convert to fraction form
    166,268/254,991 = 254,991/x
  3. Step 3: Cross multiply
    166,268x = 254,991 × 254,991
  4. Step 4: Simplify right side
    166,268x = 65,020,410,081
  5. Step 5: Solve for x
    x = 65,020,410,081/166,268
  6. Step 6: Final answer
    x = 391,057.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.