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Finding the Third Proportional to 69,308 and 150,764

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Solution

The third proportional to 69,308 and 150,764 is: 327,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,308 : 150,764 = 150,764 : x
  2. Step 2: Convert to fraction form
    69,308/150,764 = 150,764/x
  3. Step 3: Cross multiply
    69,308x = 150,764 × 150,764
  4. Step 4: Simplify right side
    69,308x = 22,729,783,696
  5. Step 5: Solve for x
    x = 22,729,783,696/69,308
  6. Step 6: Final answer
    x = 327,953.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.