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Finding the Third Proportional to 183,181 and 393,983

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Solution

The third proportional to 183,181 and 393,983 is: 847,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,181 : 393,983 = 393,983 : x
  2. Step 2: Convert to fraction form
    183,181/393,983 = 393,983/x
  3. Step 3: Cross multiply
    183,181x = 393,983 × 393,983
  4. Step 4: Simplify right side
    183,181x = 155,222,604,289
  5. Step 5: Solve for x
    x = 155,222,604,289/183,181
  6. Step 6: Final answer
    x = 847,372.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.