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Finding the Third Proportional to 194,088.75 and 422,349.75

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Solution

The third proportional to 194,088.75 and 422,349.75 is: 919,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,088.75 : 422,349.75 = 422,349.75 : x
  2. Step 2: Convert to fraction form
    194,088.75/422,349.75 = 422,349.75/x
  3. Step 3: Cross multiply
    194,088.75x = 422,349.75 × 422,349.75
  4. Step 4: Simplify right side
    194,088.75x = 178,379,311,325.06
  5. Step 5: Solve for x
    x = 178,379,311,325.06/194,088.75
  6. Step 6: Final answer
    x = 919,060.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.