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Finding the Third Proportional to 194,954 and 418,916

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Solution

The third proportional to 194,954 and 418,916 is: 900,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,954 : 418,916 = 418,916 : x
  2. Step 2: Convert to fraction form
    194,954/418,916 = 418,916/x
  3. Step 3: Cross multiply
    194,954x = 418,916 × 418,916
  4. Step 4: Simplify right side
    194,954x = 175,490,615,056
  5. Step 5: Solve for x
    x = 175,490,615,056/194,954
  6. Step 6: Final answer
    x = 900,164.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.