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Finding the Third Proportional to 194,956 and 293,874

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Solution

The third proportional to 194,956 and 293,874 is: 442,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,956 : 293,874 = 293,874 : x
  2. Step 2: Convert to fraction form
    194,956/293,874 = 293,874/x
  3. Step 3: Cross multiply
    194,956x = 293,874 × 293,874
  4. Step 4: Simplify right side
    194,956x = 86,361,927,876
  5. Step 5: Solve for x
    x = 86,361,927,876/194,956
  6. Step 6: Final answer
    x = 442,981.64

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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.