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Finding the Third Proportional to 194,736.75 and 404,952.75

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Solution

The third proportional to 194,736.75 and 404,952.75 is: 842,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,736.75 : 404,952.75 = 404,952.75 : x
  2. Step 2: Convert to fraction form
    194,736.75/404,952.75 = 404,952.75/x
  3. Step 3: Cross multiply
    194,736.75x = 404,952.75 × 404,952.75
  4. Step 4: Simplify right side
    194,736.75x = 163,986,729,732.56
  5. Step 5: Solve for x
    x = 163,986,729,732.56/194,736.75
  6. Step 6: Final answer
    x = 842,094.42

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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.