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Finding the Third Proportional to 168,601.50 and 361,989

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Solution

The third proportional to 168,601.50 and 361,989 is: 777,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,601.50 : 361,989 = 361,989 : x
  2. Step 2: Convert to fraction form
    168,601.50/361,989 = 361,989/x
  3. Step 3: Cross multiply
    168,601.50x = 361,989 × 361,989
  4. Step 4: Simplify right side
    168,601.50x = 131,036,036,121
  5. Step 5: Solve for x
    x = 131,036,036,121/168,601.50
  6. Step 6: Final answer
    x = 777,193.77

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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.