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Finding the Third Proportional to 186,876 and 289,912

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Solution

The third proportional to 186,876 and 289,912 is: 449,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,876 : 289,912 = 289,912 : x
  2. Step 2: Convert to fraction form
    186,876/289,912 = 289,912/x
  3. Step 3: Cross multiply
    186,876x = 289,912 × 289,912
  4. Step 4: Simplify right side
    186,876x = 84,048,967,744
  5. Step 5: Solve for x
    x = 84,048,967,744/186,876
  6. Step 6: Final answer
    x = 449,757.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.