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Finding the Third Proportional to 194,951 and 418,912

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Solution

The third proportional to 194,951 and 418,912 is: 900,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,951 : 418,912 = 418,912 : x
  2. Step 2: Convert to fraction form
    194,951/418,912 = 418,912/x
  3. Step 3: Cross multiply
    194,951x = 418,912 × 418,912
  4. Step 4: Simplify right side
    194,951x = 175,487,263,744
  5. Step 5: Solve for x
    x = 175,487,263,744/194,951
  6. Step 6: Final answer
    x = 900,160.88

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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.