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Finding the Third Proportional to 194,802 and 293,493

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Solution

The third proportional to 194,802 and 293,493 is: 442,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,802 : 293,493 = 293,493 : x
  2. Step 2: Convert to fraction form
    194,802/293,493 = 293,493/x
  3. Step 3: Cross multiply
    194,802x = 293,493 × 293,493
  4. Step 4: Simplify right side
    194,802x = 86,138,141,049
  5. Step 5: Solve for x
    x = 86,138,141,049/194,802
  6. Step 6: Final answer
    x = 442,183.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.