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Finding the Third Proportional to 193,626.50 and 419,420

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Solution

The third proportional to 193,626.50 and 419,420 is: 908,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,626.50 : 419,420 = 419,420 : x
  2. Step 2: Convert to fraction form
    193,626.50/419,420 = 419,420/x
  3. Step 3: Cross multiply
    193,626.50x = 419,420 × 419,420
  4. Step 4: Simplify right side
    193,626.50x = 175,913,136,400
  5. Step 5: Solve for x
    x = 175,913,136,400/193,626.50
  6. Step 6: Final answer
    x = 908,517.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.