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Finding the Third Proportional to 166,084.50 and 257,874

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Solution

The third proportional to 166,084.50 and 257,874 is: 400,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,084.50 : 257,874 = 257,874 : x
  2. Step 2: Convert to fraction form
    166,084.50/257,874 = 257,874/x
  3. Step 3: Cross multiply
    166,084.50x = 257,874 × 257,874
  4. Step 4: Simplify right side
    166,084.50x = 66,498,999,876
  5. Step 5: Solve for x
    x = 66,498,999,876/166,084.50
  6. Step 6: Final answer
    x = 400,392.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.