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Finding the Third Proportional to 193,552.50 and 416,766.75

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Solution

The third proportional to 193,552.50 and 416,766.75 is: 897,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,552.50 : 416,766.75 = 416,766.75 : x
  2. Step 2: Convert to fraction form
    193,552.50/416,766.75 = 416,766.75/x
  3. Step 3: Cross multiply
    193,552.50x = 416,766.75 × 416,766.75
  4. Step 4: Simplify right side
    193,552.50x = 173,694,523,905.56
  5. Step 5: Solve for x
    x = 173,694,523,905.56/193,552.50
  6. Step 6: Final answer
    x = 897,402.64

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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.