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Finding the Third Proportional to 80,530 and 176,992

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Solution

The third proportional to 80,530 and 176,992 is: 388,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,530 : 176,992 = 176,992 : x
  2. Step 2: Convert to fraction form
    80,530/176,992 = 176,992/x
  3. Step 3: Cross multiply
    80,530x = 176,992 × 176,992
  4. Step 4: Simplify right side
    80,530x = 31,326,168,064
  5. Step 5: Solve for x
    x = 31,326,168,064/80,530
  6. Step 6: Final answer
    x = 388,999.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.