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Finding the Third Proportional to 183,623 and 394,030

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Solution

The third proportional to 183,623 and 394,030 is: 845,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,623 : 394,030 = 394,030 : x
  2. Step 2: Convert to fraction form
    183,623/394,030 = 394,030/x
  3. Step 3: Cross multiply
    183,623x = 394,030 × 394,030
  4. Step 4: Simplify right side
    183,623x = 155,259,640,900
  5. Step 5: Solve for x
    x = 155,259,640,900/183,623
  6. Step 6: Final answer
    x = 845,534.82

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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.