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Finding the Third Proportional to 194,548.50 and 419,114.25

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Solution

The third proportional to 194,548.50 and 419,114.25 is: 902,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,548.50 : 419,114.25 = 419,114.25 : x
  2. Step 2: Convert to fraction form
    194,548.50/419,114.25 = 419,114.25/x
  3. Step 3: Cross multiply
    194,548.50x = 419,114.25 × 419,114.25
  4. Step 4: Simplify right side
    194,548.50x = 175,656,754,553.06
  5. Step 5: Solve for x
    x = 175,656,754,553.06/194,548.50
  6. Step 6: Final answer
    x = 902,894.42

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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.