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Finding the Third Proportional to 183,478 and 394,082

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Solution

The third proportional to 183,478 and 394,082 is: 846,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,478 : 394,082 = 394,082 : x
  2. Step 2: Convert to fraction form
    183,478/394,082 = 394,082/x
  3. Step 3: Cross multiply
    183,478x = 394,082 × 394,082
  4. Step 4: Simplify right side
    183,478x = 155,300,622,724
  5. Step 5: Solve for x
    x = 155,300,622,724/183,478
  6. Step 6: Final answer
    x = 846,426.40

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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.