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Finding the Third Proportional to 166,481.44 and 359,564.20

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Solution

The third proportional to 166,481.44 and 359,564.20 is: 776,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,481.44 : 359,564.20 = 359,564.20 : x
  2. Step 2: Convert to fraction form
    166,481.44/359,564.20 = 359,564.20/x
  3. Step 3: Cross multiply
    166,481.44x = 359,564.20 × 359,564.20
  4. Step 4: Simplify right side
    166,481.44x = 129,286,416,168.92
  5. Step 5: Solve for x
    x = 129,286,416,168.92/166,481.44
  6. Step 6: Final answer
    x = 776,581.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.