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Finding the Third Proportional to 195,208 and 407,360

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Solution

The third proportional to 195,208 and 407,360 is: 850,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,208 : 407,360 = 407,360 : x
  2. Step 2: Convert to fraction form
    195,208/407,360 = 407,360/x
  3. Step 3: Cross multiply
    195,208x = 407,360 × 407,360
  4. Step 4: Simplify right side
    195,208x = 165,942,169,600
  5. Step 5: Solve for x
    x = 165,942,169,600/195,208
  6. Step 6: Final answer
    x = 850,078.73

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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.