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Finding the Third Proportional to 135,381 and 198,453

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Solution

The third proportional to 135,381 and 198,453 is: 290,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,381 : 198,453 = 198,453 : x
  2. Step 2: Convert to fraction form
    135,381/198,453 = 198,453/x
  3. Step 3: Cross multiply
    135,381x = 198,453 × 198,453
  4. Step 4: Simplify right side
    135,381x = 39,383,593,209
  5. Step 5: Solve for x
    x = 39,383,593,209/135,381
  6. Step 6: Final answer
    x = 290,909.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.