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Finding the Third Proportional to 166,736.25 and 365,096.25

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Solution

The third proportional to 166,736.25 and 365,096.25 is: 799,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,736.25 : 365,096.25 = 365,096.25 : x
  2. Step 2: Convert to fraction form
    166,736.25/365,096.25 = 365,096.25/x
  3. Step 3: Cross multiply
    166,736.25x = 365,096.25 × 365,096.25
  4. Step 4: Simplify right side
    166,736.25x = 133,295,271,764.06
  5. Step 5: Solve for x
    x = 133,295,271,764.06/166,736.25
  6. Step 6: Final answer
    x = 799,437.87

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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.