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Finding the Third Proportional to 194,211 and 305,169.75

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Solution

The third proportional to 194,211 and 305,169.75 is: 479,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,211 : 305,169.75 = 305,169.75 : x
  2. Step 2: Convert to fraction form
    194,211/305,169.75 = 305,169.75/x
  3. Step 3: Cross multiply
    194,211x = 305,169.75 × 305,169.75
  4. Step 4: Simplify right side
    194,211x = 93,128,576,315.06
  5. Step 5: Solve for x
    x = 93,128,576,315.06/194,211
  6. Step 6: Final answer
    x = 479,522.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.