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Finding the Third Proportional to 211,839 and 296,301

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Solution

The third proportional to 211,839 and 296,301 is: 414,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,839 : 296,301 = 296,301 : x
  2. Step 2: Convert to fraction form
    211,839/296,301 = 296,301/x
  3. Step 3: Cross multiply
    211,839x = 296,301 × 296,301
  4. Step 4: Simplify right side
    211,839x = 87,794,282,601
  5. Step 5: Solve for x
    x = 87,794,282,601/211,839
  6. Step 6: Final answer
    x = 414,438.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.