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Finding the Third Proportional to 139,300 and 300,764

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Solution

The third proportional to 139,300 and 300,764 is: 649,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,300 : 300,764 = 300,764 : x
  2. Step 2: Convert to fraction form
    139,300/300,764 = 300,764/x
  3. Step 3: Cross multiply
    139,300x = 300,764 × 300,764
  4. Step 4: Simplify right side
    139,300x = 90,458,983,696
  5. Step 5: Solve for x
    x = 90,458,983,696/139,300
  6. Step 6: Final answer
    x = 649,382.51

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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.