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Finding the Third Proportional to 139,295 and 300,756

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Solution

The third proportional to 139,295 and 300,756 is: 649,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,295 : 300,756 = 300,756 : x
  2. Step 2: Convert to fraction form
    139,295/300,756 = 300,756/x
  3. Step 3: Cross multiply
    139,295x = 300,756 × 300,756
  4. Step 4: Simplify right side
    139,295x = 90,454,171,536
  5. Step 5: Solve for x
    x = 90,454,171,536/139,295
  6. Step 6: Final answer
    x = 649,371.27

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