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Finding the Third Proportional to 194,084.44 and 419,333.63

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Solution

The third proportional to 194,084.44 and 419,333.63 is: 906,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,084.44 : 419,333.63 = 419,333.63 : x
  2. Step 2: Convert to fraction form
    194,084.44/419,333.63 = 419,333.63/x
  3. Step 3: Cross multiply
    194,084.44x = 419,333.63 × 419,333.63
  4. Step 4: Simplify right side
    194,084.44x = 175,840,689,055.64
  5. Step 5: Solve for x
    x = 175,840,689,055.64/194,084.44
  6. Step 6: Final answer
    x = 906,000.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.