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Finding the Third Proportional to 192,830 and 295,805

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Solution

The third proportional to 192,830 and 295,805 is: 453,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,830 : 295,805 = 295,805 : x
  2. Step 2: Convert to fraction form
    192,830/295,805 = 295,805/x
  3. Step 3: Cross multiply
    192,830x = 295,805 × 295,805
  4. Step 4: Simplify right side
    192,830x = 87,500,598,025
  5. Step 5: Solve for x
    x = 87,500,598,025/192,830
  6. Step 6: Final answer
    x = 453,770.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.