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Finding the Third Proportional to 166,994.50 and 339,820.50

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Solution

The third proportional to 166,994.50 and 339,820.50 is: 691,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,994.50 : 339,820.50 = 339,820.50 : x
  2. Step 2: Convert to fraction form
    166,994.50/339,820.50 = 339,820.50/x
  3. Step 3: Cross multiply
    166,994.50x = 339,820.50 × 339,820.50
  4. Step 4: Simplify right side
    166,994.50x = 115,477,972,220.25
  5. Step 5: Solve for x
    x = 115,477,972,220.25/166,994.50
  6. Step 6: Final answer
    x = 691,507.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.