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Finding the Third Proportional to 194,251.50 and 300,003.75

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Solution

The third proportional to 194,251.50 and 300,003.75 is: 463,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,251.50 : 300,003.75 = 300,003.75 : x
  2. Step 2: Convert to fraction form
    194,251.50/300,003.75 = 300,003.75/x
  3. Step 3: Cross multiply
    194,251.50x = 300,003.75 × 300,003.75
  4. Step 4: Simplify right side
    194,251.50x = 90,002,250,014.06
  5. Step 5: Solve for x
    x = 90,002,250,014.06/194,251.50
  6. Step 6: Final answer
    x = 463,328.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.