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Finding the Third Proportional to 166,258 and 251,133

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Solution

The third proportional to 166,258 and 251,133 is: 379,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,258 : 251,133 = 251,133 : x
  2. Step 2: Convert to fraction form
    166,258/251,133 = 251,133/x
  3. Step 3: Cross multiply
    166,258x = 251,133 × 251,133
  4. Step 4: Simplify right side
    166,258x = 63,067,783,689
  5. Step 5: Solve for x
    x = 63,067,783,689/166,258
  6. Step 6: Final answer
    x = 379,336.84

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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.