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Finding the Third Proportional to 194,204 and 293,086

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Solution

The third proportional to 194,204 and 293,086 is: 442,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,204 : 293,086 = 293,086 : x
  2. Step 2: Convert to fraction form
    194,204/293,086 = 293,086/x
  3. Step 3: Cross multiply
    194,204x = 293,086 × 293,086
  4. Step 4: Simplify right side
    194,204x = 85,899,403,396
  5. Step 5: Solve for x
    x = 85,899,403,396/194,204
  6. Step 6: Final answer
    x = 442,315.31

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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.