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Finding the Third Proportional to 195,189.75 and 407,328.75

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Solution

The third proportional to 195,189.75 and 407,328.75 is: 850,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,189.75 : 407,328.75 = 407,328.75 : x
  2. Step 2: Convert to fraction form
    195,189.75/407,328.75 = 407,328.75/x
  3. Step 3: Cross multiply
    195,189.75x = 407,328.75 × 407,328.75
  4. Step 4: Simplify right side
    195,189.75x = 165,916,710,576.56
  5. Step 5: Solve for x
    x = 165,916,710,576.56/195,189.75
  6. Step 6: Final answer
    x = 850,027.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.