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Finding the Third Proportional to 183,621 and 394,026

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Solution

The third proportional to 183,621 and 394,026 is: 845,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,621 : 394,026 = 394,026 : x
  2. Step 2: Convert to fraction form
    183,621/394,026 = 394,026/x
  3. Step 3: Cross multiply
    183,621x = 394,026 × 394,026
  4. Step 4: Simplify right side
    183,621x = 155,256,488,676
  5. Step 5: Solve for x
    x = 155,256,488,676/183,621
  6. Step 6: Final answer
    x = 845,526.87

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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.