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Finding the Third Proportional to 183,084 and 394,260

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Solution

The third proportional to 183,084 and 394,260 is: 849,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,084 : 394,260 = 394,260 : x
  2. Step 2: Convert to fraction form
    183,084/394,260 = 394,260/x
  3. Step 3: Cross multiply
    183,084x = 394,260 × 394,260
  4. Step 4: Simplify right side
    183,084x = 155,440,947,600
  5. Step 5: Solve for x
    x = 155,440,947,600/183,084
  6. Step 6: Final answer
    x = 849,014.37

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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.