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Finding the Third Proportional to 166,056 and 251,049.75

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Solution

The third proportional to 166,056 and 251,049.75 is: 379,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,056 : 251,049.75 = 251,049.75 : x
  2. Step 2: Convert to fraction form
    166,056/251,049.75 = 251,049.75/x
  3. Step 3: Cross multiply
    166,056x = 251,049.75 × 251,049.75
  4. Step 4: Simplify right side
    166,056x = 63,025,976,975.06
  5. Step 5: Solve for x
    x = 63,025,976,975.06/166,056
  6. Step 6: Final answer
    x = 379,546.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.