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Finding the Third Proportional to 150,019 and 354,133

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Solution

The third proportional to 150,019 and 354,133 is: 835,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,019 : 354,133 = 354,133 : x
  2. Step 2: Convert to fraction form
    150,019/354,133 = 354,133/x
  3. Step 3: Cross multiply
    150,019x = 354,133 × 354,133
  4. Step 4: Simplify right side
    150,019x = 125,410,181,689
  5. Step 5: Solve for x
    x = 125,410,181,689/150,019
  6. Step 6: Final answer
    x = 835,961.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.