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Finding the Third Proportional to 194,067 and 289,902

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Solution

The third proportional to 194,067 and 289,902 is: 433,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,067 : 289,902 = 289,902 : x
  2. Step 2: Convert to fraction form
    194,067/289,902 = 289,902/x
  3. Step 3: Cross multiply
    194,067x = 289,902 × 289,902
  4. Step 4: Simplify right side
    194,067x = 84,043,169,604
  5. Step 5: Solve for x
    x = 84,043,169,604/194,067
  6. Step 6: Final answer
    x = 433,062.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.