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Finding the Third Proportional to 166,772.25 and 367,564.50

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Solution

The third proportional to 166,772.25 and 367,564.50 is: 810,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,772.25 : 367,564.50 = 367,564.50 : x
  2. Step 2: Convert to fraction form
    166,772.25/367,564.50 = 367,564.50/x
  3. Step 3: Cross multiply
    166,772.25x = 367,564.50 × 367,564.50
  4. Step 4: Simplify right side
    166,772.25x = 135,103,661,660.25
  5. Step 5: Solve for x
    x = 135,103,661,660.25/166,772.25
  6. Step 6: Final answer
    x = 810,108.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.