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Finding the Third Proportional to 166,400.86 and 364,476.73

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Solution

The third proportional to 166,400.86 and 364,476.73 is: 798,332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,400.86 : 364,476.73 = 364,476.73 : x
  2. Step 2: Convert to fraction form
    166,400.86/364,476.73 = 364,476.73/x
  3. Step 3: Cross multiply
    166,400.86x = 364,476.73 × 364,476.73
  4. Step 4: Simplify right side
    166,400.86x = 132,843,284,205.72
  5. Step 5: Solve for x
    x = 132,843,284,205.72/166,400.86
  6. Step 6: Final answer
    x = 798,332.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.