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Finding the Third Proportional to 150,451 and 362,504

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Solution

The third proportional to 150,451 and 362,504 is: 873,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,451 : 362,504 = 362,504 : x
  2. Step 2: Convert to fraction form
    150,451/362,504 = 362,504/x
  3. Step 3: Cross multiply
    150,451x = 362,504 × 362,504
  4. Step 4: Simplify right side
    150,451x = 131,409,150,016
  5. Step 5: Solve for x
    x = 131,409,150,016/150,451
  6. Step 6: Final answer
    x = 873,434.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.