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Finding the Third Proportional to 195,430 and 428,268

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Solution

The third proportional to 195,430 and 428,268 is: 938,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,430 : 428,268 = 428,268 : x
  2. Step 2: Convert to fraction form
    195,430/428,268 = 428,268/x
  3. Step 3: Cross multiply
    195,430x = 428,268 × 428,268
  4. Step 4: Simplify right side
    195,430x = 183,413,479,824
  5. Step 5: Solve for x
    x = 183,413,479,824/195,430
  6. Step 6: Final answer
    x = 938,512.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.