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Finding the Third Proportional to 150,022.13 and 354,138.75

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Solution

The third proportional to 150,022.13 and 354,138.75 is: 835,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,022.13 : 354,138.75 = 354,138.75 : x
  2. Step 2: Convert to fraction form
    150,022.13/354,138.75 = 354,138.75/x
  3. Step 3: Cross multiply
    150,022.13x = 354,138.75 × 354,138.75
  4. Step 4: Simplify right side
    150,022.13x = 125,414,254,251.56
  5. Step 5: Solve for x
    x = 125,414,254,251.56/150,022.13
  6. Step 6: Final answer
    x = 835,971.72

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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.