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Finding the Third Proportional to 150,036 and 327,958

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Solution

The third proportional to 150,036 and 327,958 is: 716,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,036 : 327,958 = 327,958 : x
  2. Step 2: Convert to fraction form
    150,036/327,958 = 327,958/x
  3. Step 3: Cross multiply
    150,036x = 327,958 × 327,958
  4. Step 4: Simplify right side
    150,036x = 107,556,449,764
  5. Step 5: Solve for x
    x = 107,556,449,764/150,036
  6. Step 6: Final answer
    x = 716,870.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.