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Finding the Third Proportional to 202,474.50 and 443,085

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Solution

The third proportional to 202,474.50 and 443,085 is: 969,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,474.50 : 443,085 = 443,085 : x
  2. Step 2: Convert to fraction form
    202,474.50/443,085 = 443,085/x
  3. Step 3: Cross multiply
    202,474.50x = 443,085 × 443,085
  4. Step 4: Simplify right side
    202,474.50x = 196,324,317,225
  5. Step 5: Solve for x
    x = 196,324,317,225/202,474.50
  6. Step 6: Final answer
    x = 969,624.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.