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Finding the Third Proportional to 133,849.50 and 196,305

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Solution

The third proportional to 133,849.50 and 196,305 is: 287,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,849.50 : 196,305 = 196,305 : x
  2. Step 2: Convert to fraction form
    133,849.50/196,305 = 196,305/x
  3. Step 3: Cross multiply
    133,849.50x = 196,305 × 196,305
  4. Step 4: Simplify right side
    133,849.50x = 38,535,653,025
  5. Step 5: Solve for x
    x = 38,535,653,025/133,849.50
  6. Step 6: Final answer
    x = 287,902.85

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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.