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Finding the Third Proportional to 166,447.13 and 235,518.75

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Solution

The third proportional to 166,447.13 and 235,518.75 is: 333,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,447.13 : 235,518.75 = 235,518.75 : x
  2. Step 2: Convert to fraction form
    166,447.13/235,518.75 = 235,518.75/x
  3. Step 3: Cross multiply
    166,447.13x = 235,518.75 × 235,518.75
  4. Step 4: Simplify right side
    166,447.13x = 55,469,081,601.56
  5. Step 5: Solve for x
    x = 55,469,081,601.56/166,447.13
  6. Step 6: Final answer
    x = 333,253.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.