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Finding the Third Proportional to 190,935 and 397,557

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Solution

The third proportional to 190,935 and 397,557 is: 827,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,935 : 397,557 = 397,557 : x
  2. Step 2: Convert to fraction form
    190,935/397,557 = 397,557/x
  3. Step 3: Cross multiply
    190,935x = 397,557 × 397,557
  4. Step 4: Simplify right side
    190,935x = 158,051,568,249
  5. Step 5: Solve for x
    x = 158,051,568,249/190,935
  6. Step 6: Final answer
    x = 827,776.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.