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Finding the Third Proportional to 150,015.75 and 354,126.75

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Solution

The third proportional to 150,015.75 and 354,126.75 is: 835,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,015.75 : 354,126.75 = 354,126.75 : x
  2. Step 2: Convert to fraction form
    150,015.75/354,126.75 = 354,126.75/x
  3. Step 3: Cross multiply
    150,015.75x = 354,126.75 × 354,126.75
  4. Step 4: Simplify right side
    150,015.75x = 125,405,755,065.56
  5. Step 5: Solve for x
    x = 125,405,755,065.56/150,015.75
  6. Step 6: Final answer
    x = 835,950.59

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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.