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Finding the Third Proportional to 133,741 and 198,399

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Solution

The third proportional to 133,741 and 198,399 is: 294,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,741 : 198,399 = 198,399 : x
  2. Step 2: Convert to fraction form
    133,741/198,399 = 198,399/x
  3. Step 3: Cross multiply
    133,741x = 198,399 × 198,399
  4. Step 4: Simplify right side
    133,741x = 39,362,163,201
  5. Step 5: Solve for x
    x = 39,362,163,201/133,741
  6. Step 6: Final answer
    x = 294,316.35

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Why These Related Problems?

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