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Finding the Third Proportional to 217,474 and 306,251

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Solution

The third proportional to 217,474 and 306,251 is: 431,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,474 : 306,251 = 306,251 : x
  2. Step 2: Convert to fraction form
    217,474/306,251 = 306,251/x
  3. Step 3: Cross multiply
    217,474x = 306,251 × 306,251
  4. Step 4: Simplify right side
    217,474x = 93,789,675,001
  5. Step 5: Solve for x
    x = 93,789,675,001/217,474
  6. Step 6: Final answer
    x = 431,268.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.