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Finding the Third Proportional to 166,249.50 and 344,325

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Solution

The third proportional to 166,249.50 and 344,325 is: 713,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,249.50 : 344,325 = 344,325 : x
  2. Step 2: Convert to fraction form
    166,249.50/344,325 = 344,325/x
  3. Step 3: Cross multiply
    166,249.50x = 344,325 × 344,325
  4. Step 4: Simplify right side
    166,249.50x = 118,559,705,625
  5. Step 5: Solve for x
    x = 118,559,705,625/166,249.50
  6. Step 6: Final answer
    x = 713,143.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.