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Finding the Third Proportional to 166,063 and 264,367

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Solution

The third proportional to 166,063 and 264,367 is: 420,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,063 : 264,367 = 264,367 : x
  2. Step 2: Convert to fraction form
    166,063/264,367 = 264,367/x
  3. Step 3: Cross multiply
    166,063x = 264,367 × 264,367
  4. Step 4: Simplify right side
    166,063x = 69,889,910,689
  5. Step 5: Solve for x
    x = 69,889,910,689/166,063
  6. Step 6: Final answer
    x = 420,863.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.