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Finding the Third Proportional to 80,724 and 177,366.75

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Solution

The third proportional to 80,724 and 177,366.75 is: 389,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,724 : 177,366.75 = 177,366.75 : x
  2. Step 2: Convert to fraction form
    80,724/177,366.75 = 177,366.75/x
  3. Step 3: Cross multiply
    80,724x = 177,366.75 × 177,366.75
  4. Step 4: Simplify right side
    80,724x = 31,458,964,005.56
  5. Step 5: Solve for x
    x = 31,458,964,005.56/80,724
  6. Step 6: Final answer
    x = 389,710.17

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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.