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Finding the Third Proportional to 183,894 and 394,032

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Solution

The third proportional to 183,894 and 394,032 is: 844,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,894 : 394,032 = 394,032 : x
  2. Step 2: Convert to fraction form
    183,894/394,032 = 394,032/x
  3. Step 3: Cross multiply
    183,894x = 394,032 × 394,032
  4. Step 4: Simplify right side
    183,894x = 155,261,217,024
  5. Step 5: Solve for x
    x = 155,261,217,024/183,894
  6. Step 6: Final answer
    x = 844,297.35

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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.