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Finding the Third Proportional to 166,200.75 and 342,200.25

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Solution

The third proportional to 166,200.75 and 342,200.25 is: 704,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,200.75 : 342,200.25 = 342,200.25 : x
  2. Step 2: Convert to fraction form
    166,200.75/342,200.25 = 342,200.25/x
  3. Step 3: Cross multiply
    166,200.75x = 342,200.25 × 342,200.25
  4. Step 4: Simplify right side
    166,200.75x = 117,101,011,100.06
  5. Step 5: Solve for x
    x = 117,101,011,100.06/166,200.75
  6. Step 6: Final answer
    x = 704,575.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.