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Finding the Third Proportional to 183,065 and 394,219

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Solution

The third proportional to 183,065 and 394,219 is: 848,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,065 : 394,219 = 394,219 : x
  2. Step 2: Convert to fraction form
    183,065/394,219 = 394,219/x
  3. Step 3: Cross multiply
    183,065x = 394,219 × 394,219
  4. Step 4: Simplify right side
    183,065x = 155,408,619,961
  5. Step 5: Solve for x
    x = 155,408,619,961/183,065
  6. Step 6: Final answer
    x = 848,925.90

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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.