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Finding the Third Proportional to 198,634.50 and 298,395

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Solution

The third proportional to 198,634.50 and 298,395 is: 448,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,634.50 : 298,395 = 298,395 : x
  2. Step 2: Convert to fraction form
    198,634.50/298,395 = 298,395/x
  3. Step 3: Cross multiply
    198,634.50x = 298,395 × 298,395
  4. Step 4: Simplify right side
    198,634.50x = 89,039,576,025
  5. Step 5: Solve for x
    x = 89,039,576,025/198,634.50
  6. Step 6: Final answer
    x = 448,258.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.