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Finding the Third Proportional to 150,832 and 312,104

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Solution

The third proportional to 150,832 and 312,104 is: 645,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,832 : 312,104 = 312,104 : x
  2. Step 2: Convert to fraction form
    150,832/312,104 = 312,104/x
  3. Step 3: Cross multiply
    150,832x = 312,104 × 312,104
  4. Step 4: Simplify right side
    150,832x = 97,408,906,816
  5. Step 5: Solve for x
    x = 97,408,906,816/150,832
  6. Step 6: Final answer
    x = 645,810.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.