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Finding the Third Proportional to 190,951 and 397,588

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Solution

The third proportional to 190,951 and 397,588 is: 827,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,951 : 397,588 = 397,588 : x
  2. Step 2: Convert to fraction form
    190,951/397,588 = 397,588/x
  3. Step 3: Cross multiply
    190,951x = 397,588 × 397,588
  4. Step 4: Simplify right side
    190,951x = 158,076,217,744
  5. Step 5: Solve for x
    x = 158,076,217,744/190,951
  6. Step 6: Final answer
    x = 827,836.55

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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.