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Finding the Third Proportional to 198,308 and 386,653

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Solution

The third proportional to 198,308 and 386,653 is: 753,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,308 : 386,653 = 386,653 : x
  2. Step 2: Convert to fraction form
    198,308/386,653 = 386,653/x
  3. Step 3: Cross multiply
    198,308x = 386,653 × 386,653
  4. Step 4: Simplify right side
    198,308x = 149,500,542,409
  5. Step 5: Solve for x
    x = 149,500,542,409/198,308
  6. Step 6: Final answer
    x = 753,880.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.