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Finding the Third Proportional to 195,072 and 419,242.50

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Solution

The third proportional to 195,072 and 419,242.50 is: 901,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,072 : 419,242.50 = 419,242.50 : x
  2. Step 2: Convert to fraction form
    195,072/419,242.50 = 419,242.50/x
  3. Step 3: Cross multiply
    195,072x = 419,242.50 × 419,242.50
  4. Step 4: Simplify right side
    195,072x = 175,764,273,806.25
  5. Step 5: Solve for x
    x = 175,764,273,806.25/195,072
  6. Step 6: Final answer
    x = 901,022.57

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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.