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Finding the Third Proportional to 193,545 and 394,865

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Solution

The third proportional to 193,545 and 394,865 is: 805,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,545 : 394,865 = 394,865 : x
  2. Step 2: Convert to fraction form
    193,545/394,865 = 394,865/x
  3. Step 3: Cross multiply
    193,545x = 394,865 × 394,865
  4. Step 4: Simplify right side
    193,545x = 155,918,368,225
  5. Step 5: Solve for x
    x = 155,918,368,225/193,545
  6. Step 6: Final answer
    x = 805,592.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.