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Finding the Third Proportional to 201,174 and 303,811

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Solution

The third proportional to 201,174 and 303,811 is: 458,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,174 : 303,811 = 303,811 : x
  2. Step 2: Convert to fraction form
    201,174/303,811 = 303,811/x
  3. Step 3: Cross multiply
    201,174x = 303,811 × 303,811
  4. Step 4: Simplify right side
    201,174x = 92,301,123,721
  5. Step 5: Solve for x
    x = 92,301,123,721/201,174
  6. Step 6: Final answer
    x = 458,812.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.