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Finding the Third Proportional to 190,937 and 397,561

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Solution

The third proportional to 190,937 and 397,561 is: 827,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,937 : 397,561 = 397,561 : x
  2. Step 2: Convert to fraction form
    190,937/397,561 = 397,561/x
  3. Step 3: Cross multiply
    190,937x = 397,561 × 397,561
  4. Step 4: Simplify right side
    190,937x = 158,054,748,721
  5. Step 5: Solve for x
    x = 158,054,748,721/190,937
  6. Step 6: Final answer
    x = 827,784.81

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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.