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Finding the Third Proportional to 195,200 and 426,208

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Solution

The third proportional to 195,200 and 426,208 is: 930,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,200 : 426,208 = 426,208 : x
  2. Step 2: Convert to fraction form
    195,200/426,208 = 426,208/x
  3. Step 3: Cross multiply
    195,200x = 426,208 × 426,208
  4. Step 4: Simplify right side
    195,200x = 181,653,259,264
  5. Step 5: Solve for x
    x = 181,653,259,264/195,200
  6. Step 6: Final answer
    x = 930,600.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.