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Finding the Third Proportional to 225,371.25 and 350,976.38

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Solution

The third proportional to 225,371.25 and 350,976.38 is: 546,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,371.25 : 350,976.38 = 350,976.38 : x
  2. Step 2: Convert to fraction form
    225,371.25/350,976.38 = 350,976.38/x
  3. Step 3: Cross multiply
    225,371.25x = 350,976.38 × 350,976.38
  4. Step 4: Simplify right side
    225,371.25x = 123,184,415,808.14
  5. Step 5: Solve for x
    x = 123,184,415,808.14/225,371.25
  6. Step 6: Final answer
    x = 546,584.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.