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Finding the Third Proportional to 174,504 and 376,866

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Solution

The third proportional to 174,504 and 376,866 is: 813,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,504 : 376,866 = 376,866 : x
  2. Step 2: Convert to fraction form
    174,504/376,866 = 376,866/x
  3. Step 3: Cross multiply
    174,504x = 376,866 × 376,866
  4. Step 4: Simplify right side
    174,504x = 142,027,981,956
  5. Step 5: Solve for x
    x = 142,027,981,956/174,504
  6. Step 6: Final answer
    x = 813,895.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.