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Finding the Third Proportional to 117,198 and 175,293

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Solution

The third proportional to 117,198 and 175,293 is: 262,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,198 : 175,293 = 175,293 : x
  2. Step 2: Convert to fraction form
    117,198/175,293 = 175,293/x
  3. Step 3: Cross multiply
    117,198x = 175,293 × 175,293
  4. Step 4: Simplify right side
    117,198x = 30,727,635,849
  5. Step 5: Solve for x
    x = 30,727,635,849/117,198
  6. Step 6: Final answer
    x = 262,185.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.