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Finding the Third Proportional to 139,243.50 and 285,864

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Solution

The third proportional to 139,243.50 and 285,864 is: 586,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,243.50 : 285,864 = 285,864 : x
  2. Step 2: Convert to fraction form
    139,243.50/285,864 = 285,864/x
  3. Step 3: Cross multiply
    139,243.50x = 285,864 × 285,864
  4. Step 4: Simplify right side
    139,243.50x = 81,718,226,496
  5. Step 5: Solve for x
    x = 81,718,226,496/139,243.50
  6. Step 6: Final answer
    x = 586,872.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.