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Finding the Third Proportional to 150,858.75 and 314,231.25

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Solution

The third proportional to 150,858.75 and 314,231.25 is: 654,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858.75 : 314,231.25 = 314,231.25 : x
  2. Step 2: Convert to fraction form
    150,858.75/314,231.25 = 314,231.25/x
  3. Step 3: Cross multiply
    150,858.75x = 314,231.25 × 314,231.25
  4. Step 4: Simplify right side
    150,858.75x = 98,741,278,476.56
  5. Step 5: Solve for x
    x = 98,741,278,476.56/150,858.75
  6. Step 6: Final answer
    x = 654,528.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.