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Finding the Third Proportional to 208,941 and 451,131

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Solution

The third proportional to 208,941 and 451,131 is: 974,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,941 : 451,131 = 451,131 : x
  2. Step 2: Convert to fraction form
    208,941/451,131 = 451,131/x
  3. Step 3: Cross multiply
    208,941x = 451,131 × 451,131
  4. Step 4: Simplify right side
    208,941x = 203,519,179,161
  5. Step 5: Solve for x
    x = 203,519,179,161/208,941
  6. Step 6: Final answer
    x = 974,050.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.