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Finding the Third Proportional to 189,697.50 and 396,819

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Solution

The third proportional to 189,697.50 and 396,819 is: 830,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,697.50 : 396,819 = 396,819 : x
  2. Step 2: Convert to fraction form
    189,697.50/396,819 = 396,819/x
  3. Step 3: Cross multiply
    189,697.50x = 396,819 × 396,819
  4. Step 4: Simplify right side
    189,697.50x = 157,465,318,761
  5. Step 5: Solve for x
    x = 157,465,318,761/189,697.50
  6. Step 6: Final answer
    x = 830,086.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.