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Finding the Third Proportional to 194,622.75 and 295,589.25

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Solution

The third proportional to 194,622.75 and 295,589.25 is: 448,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,622.75 : 295,589.25 = 295,589.25 : x
  2. Step 2: Convert to fraction form
    194,622.75/295,589.25 = 295,589.25/x
  3. Step 3: Cross multiply
    194,622.75x = 295,589.25 × 295,589.25
  4. Step 4: Simplify right side
    194,622.75x = 87,373,004,715.56
  5. Step 5: Solve for x
    x = 87,373,004,715.56/194,622.75
  6. Step 6: Final answer
    x = 448,935.21

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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.