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Finding the Third Proportional to 194,061 and 289,893

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Solution

The third proportional to 194,061 and 289,893 is: 433,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,061 : 289,893 = 289,893 : x
  2. Step 2: Convert to fraction form
    194,061/289,893 = 289,893/x
  3. Step 3: Cross multiply
    194,061x = 289,893 × 289,893
  4. Step 4: Simplify right side
    194,061x = 84,037,951,449
  5. Step 5: Solve for x
    x = 84,037,951,449/194,061
  6. Step 6: Final answer
    x = 433,049.15

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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.