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Finding the Third Proportional to 183,034.69 and 394,166.25

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Solution

The third proportional to 183,034.69 and 394,166.25 is: 848,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,034.69 : 394,166.25 = 394,166.25 : x
  2. Step 2: Convert to fraction form
    183,034.69/394,166.25 = 394,166.25/x
  3. Step 3: Cross multiply
    183,034.69x = 394,166.25 × 394,166.25
  4. Step 4: Simplify right side
    183,034.69x = 155,367,032,639.06
  5. Step 5: Solve for x
    x = 155,367,032,639.06/183,034.69
  6. Step 6: Final answer
    x = 848,839.28

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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.