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Finding the Third Proportional to 80,516 and 176,962

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Solution

The third proportional to 80,516 and 176,962 is: 388,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,516 : 176,962 = 176,962 : x
  2. Step 2: Convert to fraction form
    80,516/176,962 = 176,962/x
  3. Step 3: Cross multiply
    80,516x = 176,962 × 176,962
  4. Step 4: Simplify right side
    80,516x = 31,315,549,444
  5. Step 5: Solve for x
    x = 31,315,549,444/80,516
  6. Step 6: Final answer
    x = 388,935.73

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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.