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Finding the Third Proportional to 166,160.25 and 365,533.88

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Solution

The third proportional to 166,160.25 and 365,533.88 is: 804,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,160.25 : 365,533.88 = 365,533.88 : x
  2. Step 2: Convert to fraction form
    166,160.25/365,533.88 = 365,533.88/x
  3. Step 3: Cross multiply
    166,160.25x = 365,533.88 × 365,533.88
  4. Step 4: Simplify right side
    166,160.25x = 133,615,013,772.52
  5. Step 5: Solve for x
    x = 133,615,013,772.52/166,160.25
  6. Step 6: Final answer
    x = 804,133.44

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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.