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Finding the Third Proportional to 194,898 and 440,202

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Solution

The third proportional to 194,898 and 440,202 is: 994,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898 : 440,202 = 440,202 : x
  2. Step 2: Convert to fraction form
    194,898/440,202 = 440,202/x
  3. Step 3: Cross multiply
    194,898x = 440,202 × 440,202
  4. Step 4: Simplify right side
    194,898x = 193,777,800,804
  5. Step 5: Solve for x
    x = 193,777,800,804/194,898
  6. Step 6: Final answer
    x = 994,252.38

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.