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Finding the Third Proportional to 193,700.25 and 419,571

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Solution

The third proportional to 193,700.25 and 419,571 is: 908,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,700.25 : 419,571 = 419,571 : x
  2. Step 2: Convert to fraction form
    193,700.25/419,571 = 419,571/x
  3. Step 3: Cross multiply
    193,700.25x = 419,571 × 419,571
  4. Step 4: Simplify right side
    193,700.25x = 176,039,824,041
  5. Step 5: Solve for x
    x = 176,039,824,041/193,700.25
  6. Step 6: Final answer
    x = 908,826.00

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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.