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Finding the Third Proportional to 150,485.81 and 313,427.25

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Solution

The third proportional to 150,485.81 and 313,427.25 is: 652,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,485.81 : 313,427.25 = 313,427.25 : x
  2. Step 2: Convert to fraction form
    150,485.81/313,427.25 = 313,427.25/x
  3. Step 3: Cross multiply
    150,485.81x = 313,427.25 × 313,427.25
  4. Step 4: Simplify right side
    150,485.81x = 98,236,641,042.56
  5. Step 5: Solve for x
    x = 98,236,641,042.56/150,485.81
  6. Step 6: Final answer
    x = 652,796.69

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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.