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Finding the Third Proportional to 210,832 and 273,598

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Solution

The third proportional to 210,832 and 273,598 is: 355,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,832 : 273,598 = 273,598 : x
  2. Step 2: Convert to fraction form
    210,832/273,598 = 273,598/x
  3. Step 3: Cross multiply
    210,832x = 273,598 × 273,598
  4. Step 4: Simplify right side
    210,832x = 74,855,865,604
  5. Step 5: Solve for x
    x = 74,855,865,604/210,832
  6. Step 6: Final answer
    x = 355,049.83

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.