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Finding the Third Proportional to 166,257.56 and 263,305.69

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Solution

The third proportional to 166,257.56 and 263,305.69 is: 417,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,257.56 : 263,305.69 = 263,305.69 : x
  2. Step 2: Convert to fraction form
    166,257.56/263,305.69 = 263,305.69/x
  3. Step 3: Cross multiply
    166,257.56x = 263,305.69 × 263,305.69
  4. Step 4: Simplify right side
    166,257.56x = 69,329,885,069.85
  5. Step 5: Solve for x
    x = 69,329,885,069.85/166,257.56
  6. Step 6: Final answer
    x = 417,002.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.