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Finding the Third Proportional to 166,036 and 250,782

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Solution

The third proportional to 166,036 and 250,782 is: 378,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,036 : 250,782 = 250,782 : x
  2. Step 2: Convert to fraction form
    166,036/250,782 = 250,782/x
  3. Step 3: Cross multiply
    166,036x = 250,782 × 250,782
  4. Step 4: Simplify right side
    166,036x = 62,891,611,524
  5. Step 5: Solve for x
    x = 62,891,611,524/166,036
  6. Step 6: Final answer
    x = 378,782.98

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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.