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Finding the Third Proportional to 165,850.31 and 248,515.03

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Solution

The third proportional to 165,850.31 and 248,515.03 is: 372,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,850.31 : 248,515.03 = 248,515.03 : x
  2. Step 2: Convert to fraction form
    165,850.31/248,515.03 = 248,515.03/x
  3. Step 3: Cross multiply
    165,850.31x = 248,515.03 × 248,515.03
  4. Step 4: Simplify right side
    165,850.31x = 61,759,720,757.19
  5. Step 5: Solve for x
    x = 61,759,720,757.19/165,850.31
  6. Step 6: Final answer
    x = 372,382.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.