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Finding the Third Proportional to 194,456.25 and 291,687.75

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Solution

The third proportional to 194,456.25 and 291,687.75 is: 437,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,456.25 : 291,687.75 = 291,687.75 : x
  2. Step 2: Convert to fraction form
    194,456.25/291,687.75 = 291,687.75/x
  3. Step 3: Cross multiply
    194,456.25x = 291,687.75 × 291,687.75
  4. Step 4: Simplify right side
    194,456.25x = 85,081,743,500.06
  5. Step 5: Solve for x
    x = 85,081,743,500.06/194,456.25
  6. Step 6: Final answer
    x = 437,536.69

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