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Finding the Third Proportional to 171,766.50 and 368,967

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Solution

The third proportional to 171,766.50 and 368,967 is: 792,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,766.50 : 368,967 = 368,967 : x
  2. Step 2: Convert to fraction form
    171,766.50/368,967 = 368,967/x
  3. Step 3: Cross multiply
    171,766.50x = 368,967 × 368,967
  4. Step 4: Simplify right side
    171,766.50x = 136,136,647,089
  5. Step 5: Solve for x
    x = 136,136,647,089/171,766.50
  6. Step 6: Final answer
    x = 792,568.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.