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Finding the Third Proportional to 193,954 and 426,792

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Solution

The third proportional to 193,954 and 426,792 is: 939,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,954 : 426,792 = 426,792 : x
  2. Step 2: Convert to fraction form
    193,954/426,792 = 426,792/x
  3. Step 3: Cross multiply
    193,954x = 426,792 × 426,792
  4. Step 4: Simplify right side
    193,954x = 182,151,411,264
  5. Step 5: Solve for x
    x = 182,151,411,264/193,954
  6. Step 6: Final answer
    x = 939,147.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.