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Finding the Third Proportional to 167,682 and 261,732

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Solution

The third proportional to 167,682 and 261,732 is: 408,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,682 : 261,732 = 261,732 : x
  2. Step 2: Convert to fraction form
    167,682/261,732 = 261,732/x
  3. Step 3: Cross multiply
    167,682x = 261,732 × 261,732
  4. Step 4: Simplify right side
    167,682x = 68,503,639,824
  5. Step 5: Solve for x
    x = 68,503,639,824/167,682
  6. Step 6: Final answer
    x = 408,533.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.