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Finding the Third Proportional to 171,277 and 361,019

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Solution

The third proportional to 171,277 and 361,019 is: 760,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,277 : 361,019 = 361,019 : x
  2. Step 2: Convert to fraction form
    171,277/361,019 = 361,019/x
  3. Step 3: Cross multiply
    171,277x = 361,019 × 361,019
  4. Step 4: Simplify right side
    171,277x = 130,334,718,361
  5. Step 5: Solve for x
    x = 130,334,718,361/171,277
  6. Step 6: Final answer
    x = 760,958.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.