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Finding the Third Proportional to 168,968.53 and 261,541.41

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Solution

The third proportional to 168,968.53 and 261,541.41 is: 404,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,968.53 : 261,541.41 = 261,541.41 : x
  2. Step 2: Convert to fraction form
    168,968.53/261,541.41 = 261,541.41/x
  3. Step 3: Cross multiply
    168,968.53x = 261,541.41 × 261,541.41
  4. Step 4: Simplify right side
    168,968.53x = 68,403,907,183.23
  5. Step 5: Solve for x
    x = 68,403,907,183.23/168,968.53
  6. Step 6: Final answer
    x = 404,832.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.