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Finding the Third Proportional to 166,084 and 257,867

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Solution

The third proportional to 166,084 and 257,867 is: 400,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,084 : 257,867 = 257,867 : x
  2. Step 2: Convert to fraction form
    166,084/257,867 = 257,867/x
  3. Step 3: Cross multiply
    166,084x = 257,867 × 257,867
  4. Step 4: Simplify right side
    166,084x = 66,495,389,689
  5. Step 5: Solve for x
    x = 66,495,389,689/166,084
  6. Step 6: Final answer
    x = 400,372.04

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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.