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Finding the Third Proportional to 150,896.25 and 325,505.25

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Solution

The third proportional to 150,896.25 and 325,505.25 is: 702,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,896.25 : 325,505.25 = 325,505.25 : x
  2. Step 2: Convert to fraction form
    150,896.25/325,505.25 = 325,505.25/x
  3. Step 3: Cross multiply
    150,896.25x = 325,505.25 × 325,505.25
  4. Step 4: Simplify right side
    150,896.25x = 105,953,667,777.56
  5. Step 5: Solve for x
    x = 105,953,667,777.56/150,896.25
  6. Step 6: Final answer
    x = 702,162.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.