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Finding the Third Proportional to 166,992 and 345,024

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Solution

The third proportional to 166,992 and 345,024 is: 712,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,992 : 345,024 = 345,024 : x
  2. Step 2: Convert to fraction form
    166,992/345,024 = 345,024/x
  3. Step 3: Cross multiply
    166,992x = 345,024 × 345,024
  4. Step 4: Simplify right side
    166,992x = 119,041,560,576
  5. Step 5: Solve for x
    x = 119,041,560,576/166,992
  6. Step 6: Final answer
    x = 712,857.86

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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.