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Finding the Third Proportional to 194,920 and 236,474

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Solution

The third proportional to 194,920 and 236,474 is: 286,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,920 : 236,474 = 236,474 : x
  2. Step 2: Convert to fraction form
    194,920/236,474 = 236,474/x
  3. Step 3: Cross multiply
    194,920x = 236,474 × 236,474
  4. Step 4: Simplify right side
    194,920x = 55,919,952,676
  5. Step 5: Solve for x
    x = 55,919,952,676/194,920
  6. Step 6: Final answer
    x = 286,886.69

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.