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Finding the Third Proportional to 183,914 and 394,066

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Solution

The third proportional to 183,914 and 394,066 is: 844,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,914 : 394,066 = 394,066 : x
  2. Step 2: Convert to fraction form
    183,914/394,066 = 394,066/x
  3. Step 3: Cross multiply
    183,914x = 394,066 × 394,066
  4. Step 4: Simplify right side
    183,914x = 155,288,012,356
  5. Step 5: Solve for x
    x = 155,288,012,356/183,914
  6. Step 6: Final answer
    x = 844,351.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.