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Finding the Third Proportional to 208,132 and 276,699

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Solution

The third proportional to 208,132 and 276,699 is: 367,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132 : 276,699 = 276,699 : x
  2. Step 2: Convert to fraction form
    208,132/276,699 = 276,699/x
  3. Step 3: Cross multiply
    208,132x = 276,699 × 276,699
  4. Step 4: Simplify right side
    208,132x = 76,562,336,601
  5. Step 5: Solve for x
    x = 76,562,336,601/208,132
  6. Step 6: Final answer
    x = 367,854.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.