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Finding the Third Proportional to 194,208.75 and 295,366.13

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Solution

The third proportional to 194,208.75 and 295,366.13 is: 449,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,208.75 : 295,366.13 = 295,366.13 : x
  2. Step 2: Convert to fraction form
    194,208.75/295,366.13 = 295,366.13/x
  3. Step 3: Cross multiply
    194,208.75x = 295,366.13 × 295,366.13
  4. Step 4: Simplify right side
    194,208.75x = 87,241,147,797.52
  5. Step 5: Solve for x
    x = 87,241,147,797.52/194,208.75
  6. Step 6: Final answer
    x = 449,213.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.