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Finding the Third Proportional to 206,498 and 303,699

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Solution

The third proportional to 206,498 and 303,699 is: 446,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498 : 303,699 = 303,699 : x
  2. Step 2: Convert to fraction form
    206,498/303,699 = 303,699/x
  3. Step 3: Cross multiply
    206,498x = 303,699 × 303,699
  4. Step 4: Simplify right side
    206,498x = 92,233,082,601
  5. Step 5: Solve for x
    x = 92,233,082,601/206,498
  6. Step 6: Final answer
    x = 446,653.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.