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Finding the Third Proportional to 150,963.75 and 308,481.75

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Solution

The third proportional to 150,963.75 and 308,481.75 is: 630,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,963.75 : 308,481.75 = 308,481.75 : x
  2. Step 2: Convert to fraction form
    150,963.75/308,481.75 = 308,481.75/x
  3. Step 3: Cross multiply
    150,963.75x = 308,481.75 × 308,481.75
  4. Step 4: Simplify right side
    150,963.75x = 95,160,990,083.06
  5. Step 5: Solve for x
    x = 95,160,990,083.06/150,963.75
  6. Step 6: Final answer
    x = 630,356.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.