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Finding the Third Proportional to 183,900.38 and 394,044.75

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Solution

The third proportional to 183,900.38 and 394,044.75 is: 844,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,900.38 : 394,044.75 = 394,044.75 : x
  2. Step 2: Convert to fraction form
    183,900.38/394,044.75 = 394,044.75/x
  3. Step 3: Cross multiply
    183,900.38x = 394,044.75 × 394,044.75
  4. Step 4: Simplify right side
    183,900.38x = 155,271,265,002.56
  5. Step 5: Solve for x
    x = 155,271,265,002.56/183,900.38
  6. Step 6: Final answer
    x = 844,322.72

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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.