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Finding the Third Proportional to 275,425.31 and 298,935.56

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Solution

The third proportional to 275,425.31 and 298,935.56 is: 324,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,425.31 : 298,935.56 = 298,935.56 : x
  2. Step 2: Convert to fraction form
    275,425.31/298,935.56 = 298,935.56/x
  3. Step 3: Cross multiply
    275,425.31x = 298,935.56 × 298,935.56
  4. Step 4: Simplify right side
    275,425.31x = 89,362,470,527.19
  5. Step 5: Solve for x
    x = 89,362,470,527.19/275,425.31
  6. Step 6: Final answer
    x = 324,452.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.