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Finding the Third Proportional to 131,328 and 273,954

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Solution

The third proportional to 131,328 and 273,954 is: 571,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,328 : 273,954 = 273,954 : x
  2. Step 2: Convert to fraction form
    131,328/273,954 = 273,954/x
  3. Step 3: Cross multiply
    131,328x = 273,954 × 273,954
  4. Step 4: Simplify right side
    131,328x = 75,050,794,116
  5. Step 5: Solve for x
    x = 75,050,794,116/131,328
  6. Step 6: Final answer
    x = 571,475.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.