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Finding the Third Proportional to 193,584.94 and 298,996.31

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Solution

The third proportional to 193,584.94 and 298,996.31 is: 461,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,584.94 : 298,996.31 = 298,996.31 : x
  2. Step 2: Convert to fraction form
    193,584.94/298,996.31 = 298,996.31/x
  3. Step 3: Cross multiply
    193,584.94x = 298,996.31 × 298,996.31
  4. Step 4: Simplify right side
    193,584.94x = 89,398,794,888.60
  5. Step 5: Solve for x
    x = 89,398,794,888.60/193,584.94
  6. Step 6: Final answer
    x = 461,806.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.