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Finding the Third Proportional to 183,919 and 281,225

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Solution

The third proportional to 183,919 and 281,225 is: 430,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,919 : 281,225 = 281,225 : x
  2. Step 2: Convert to fraction form
    183,919/281,225 = 281,225/x
  3. Step 3: Cross multiply
    183,919x = 281,225 × 281,225
  4. Step 4: Simplify right side
    183,919x = 79,087,500,625
  5. Step 5: Solve for x
    x = 79,087,500,625/183,919
  6. Step 6: Final answer
    x = 430,012.67

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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.