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Finding the Third Proportional to 183,926 and 394,090

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Solution

The third proportional to 183,926 and 394,090 is: 844,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,926 : 394,090 = 394,090 : x
  2. Step 2: Convert to fraction form
    183,926/394,090 = 394,090/x
  3. Step 3: Cross multiply
    183,926x = 394,090 × 394,090
  4. Step 4: Simplify right side
    183,926x = 155,306,928,100
  5. Step 5: Solve for x
    x = 155,306,928,100/183,926
  6. Step 6: Final answer
    x = 844,398.99

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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.