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Finding the Third Proportional to 166,068 and 264,372.75

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Solution

The third proportional to 166,068 and 264,372.75 is: 420,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,068 : 264,372.75 = 264,372.75 : x
  2. Step 2: Convert to fraction form
    166,068/264,372.75 = 264,372.75/x
  3. Step 3: Cross multiply
    166,068x = 264,372.75 × 264,372.75
  4. Step 4: Simplify right side
    166,068x = 69,892,950,942.56
  5. Step 5: Solve for x
    x = 69,892,950,942.56/166,068
  6. Step 6: Final answer
    x = 420,869.47

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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.