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Finding the Third Proportional to 197,238 and 419,052

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Solution

The third proportional to 197,238 and 419,052 is: 890,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,238 : 419,052 = 419,052 : x
  2. Step 2: Convert to fraction form
    197,238/419,052 = 419,052/x
  3. Step 3: Cross multiply
    197,238x = 419,052 × 419,052
  4. Step 4: Simplify right side
    197,238x = 175,604,578,704
  5. Step 5: Solve for x
    x = 175,604,578,704/197,238
  6. Step 6: Final answer
    x = 890,318.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.