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Finding the Third Proportional to 194,085.75 and 422,343.75

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Solution

The third proportional to 194,085.75 and 422,343.75 is: 919,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,085.75 : 422,343.75 = 422,343.75 : x
  2. Step 2: Convert to fraction form
    194,085.75/422,343.75 = 422,343.75/x
  3. Step 3: Cross multiply
    194,085.75x = 422,343.75 × 422,343.75
  4. Step 4: Simplify right side
    194,085.75x = 178,374,243,164.06
  5. Step 5: Solve for x
    x = 178,374,243,164.06/194,085.75
  6. Step 6: Final answer
    x = 919,048.63

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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.