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Finding the Third Proportional to 166,986.56 and 325,612.41

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Solution

The third proportional to 166,986.56 and 325,612.41 is: 634,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,986.56 : 325,612.41 = 325,612.41 : x
  2. Step 2: Convert to fraction form
    166,986.56/325,612.41 = 325,612.41/x
  3. Step 3: Cross multiply
    166,986.56x = 325,612.41 × 325,612.41
  4. Step 4: Simplify right side
    166,986.56x = 106,023,439,103.92
  5. Step 5: Solve for x
    x = 106,023,439,103.92/166,986.56
  6. Step 6: Final answer
    x = 634,921.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.