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Finding the Third Proportional to 139,296 and 208,947

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Solution

The third proportional to 139,296 and 208,947 is: 313,425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,296 : 208,947 = 208,947 : x
  2. Step 2: Convert to fraction form
    139,296/208,947 = 208,947/x
  3. Step 3: Cross multiply
    139,296x = 208,947 × 208,947
  4. Step 4: Simplify right side
    139,296x = 43,658,848,809
  5. Step 5: Solve for x
    x = 43,658,848,809/139,296
  6. Step 6: Final answer
    x = 313,425.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.