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Finding the Third Proportional to 183,476 and 394,080

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Solution

The third proportional to 183,476 and 394,080 is: 846,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,476 : 394,080 = 394,080 : x
  2. Step 2: Convert to fraction form
    183,476/394,080 = 394,080/x
  3. Step 3: Cross multiply
    183,476x = 394,080 × 394,080
  4. Step 4: Simplify right side
    183,476x = 155,299,046,400
  5. Step 5: Solve for x
    x = 155,299,046,400/183,476
  6. Step 6: Final answer
    x = 846,427.03

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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.