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Finding the Third Proportional to 185,635.50 and 404,601

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Solution

The third proportional to 185,635.50 and 404,601 is: 881,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,635.50 : 404,601 = 404,601 : x
  2. Step 2: Convert to fraction form
    185,635.50/404,601 = 404,601/x
  3. Step 3: Cross multiply
    185,635.50x = 404,601 × 404,601
  4. Step 4: Simplify right side
    185,635.50x = 163,701,969,201
  5. Step 5: Solve for x
    x = 163,701,969,201/185,635.50
  6. Step 6: Final answer
    x = 881,846.25

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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.