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Finding the Third Proportional to 194,042 and 289,865

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Solution

The third proportional to 194,042 and 289,865 is: 433,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,042 : 289,865 = 289,865 : x
  2. Step 2: Convert to fraction form
    194,042/289,865 = 289,865/x
  3. Step 3: Cross multiply
    194,042x = 289,865 × 289,865
  4. Step 4: Simplify right side
    194,042x = 84,021,718,225
  5. Step 5: Solve for x
    x = 84,021,718,225/194,042
  6. Step 6: Final answer
    x = 433,007.90

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