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Finding the Third Proportional to 183,186 and 393,993

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Solution

The third proportional to 183,186 and 393,993 is: 847,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,186 : 393,993 = 393,993 : x
  2. Step 2: Convert to fraction form
    183,186/393,993 = 393,993/x
  3. Step 3: Cross multiply
    183,186x = 393,993 × 393,993
  4. Step 4: Simplify right side
    183,186x = 155,230,484,049
  5. Step 5: Solve for x
    x = 155,230,484,049/183,186
  6. Step 6: Final answer
    x = 847,392.73

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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.