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Finding the Third Proportional to 194,231.25 and 290,489.63

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Solution

The third proportional to 194,231.25 and 290,489.63 is: 434,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,231.25 : 290,489.63 = 290,489.63 : x
  2. Step 2: Convert to fraction form
    194,231.25/290,489.63 = 290,489.63/x
  3. Step 3: Cross multiply
    194,231.25x = 290,489.63 × 290,489.63
  4. Step 4: Simplify right side
    194,231.25x = 84,384,222,232.64
  5. Step 5: Solve for x
    x = 84,384,222,232.64/194,231.25
  6. Step 6: Final answer
    x = 434,452.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.