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Finding the Third Proportional to 193,083.75 and 298,968.75

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Solution

The third proportional to 193,083.75 and 298,968.75 is: 462,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,083.75 : 298,968.75 = 298,968.75 : x
  2. Step 2: Convert to fraction form
    193,083.75/298,968.75 = 298,968.75/x
  3. Step 3: Cross multiply
    193,083.75x = 298,968.75 × 298,968.75
  4. Step 4: Simplify right side
    193,083.75x = 89,382,313,476.56
  5. Step 5: Solve for x
    x = 89,382,313,476.56/193,083.75
  6. Step 6: Final answer
    x = 462,919.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.