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Finding the Third Proportional to 194,625.91 and 418,351.08

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Solution

The third proportional to 194,625.91 and 418,351.08 is: 899,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,625.91 : 418,351.08 = 418,351.08 : x
  2. Step 2: Convert to fraction form
    194,625.91/418,351.08 = 418,351.08/x
  3. Step 3: Cross multiply
    194,625.91x = 418,351.08 × 418,351.08
  4. Step 4: Simplify right side
    194,625.91x = 175,017,624,568.35
  5. Step 5: Solve for x
    x = 175,017,624,568.35/194,625.91
  6. Step 6: Final answer
    x = 899,251.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.