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Finding the Third Proportional to 168,968.53 and 263,146.22

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Solution

The third proportional to 168,968.53 and 263,146.22 is: 409,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,968.53 : 263,146.22 = 263,146.22 : x
  2. Step 2: Convert to fraction form
    168,968.53/263,146.22 = 263,146.22/x
  3. Step 3: Cross multiply
    168,968.53x = 263,146.22 × 263,146.22
  4. Step 4: Simplify right side
    168,968.53x = 69,245,932,442.42
  5. Step 5: Solve for x
    x = 69,245,932,442.42/168,968.53
  6. Step 6: Final answer
    x = 409,815.56

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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.