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Finding the Third Proportional to 133,738 and 198,394

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Solution

The third proportional to 133,738 and 198,394 is: 294,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,738 : 198,394 = 198,394 : x
  2. Step 2: Convert to fraction form
    133,738/198,394 = 198,394/x
  3. Step 3: Cross multiply
    133,738x = 198,394 × 198,394
  4. Step 4: Simplify right side
    133,738x = 39,360,179,236
  5. Step 5: Solve for x
    x = 39,360,179,236/133,738
  6. Step 6: Final answer
    x = 294,308.12

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.