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Finding the Third Proportional to 166,404 and 235,456.50

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Solution

The third proportional to 166,404 and 235,456.50 is: 333,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,404 : 235,456.50 = 235,456.50 : x
  2. Step 2: Convert to fraction form
    166,404/235,456.50 = 235,456.50/x
  3. Step 3: Cross multiply
    166,404x = 235,456.50 × 235,456.50
  4. Step 4: Simplify right side
    166,404x = 55,439,763,392.25
  5. Step 5: Solve for x
    x = 55,439,763,392.25/166,404
  6. Step 6: Final answer
    x = 333,163.65

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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.