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Finding the Third Proportional to 80,906.25 and 177,364.50

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Solution

The third proportional to 80,906.25 and 177,364.50 is: 388,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,906.25 : 177,364.50 = 177,364.50 : x
  2. Step 2: Convert to fraction form
    80,906.25/177,364.50 = 177,364.50/x
  3. Step 3: Cross multiply
    80,906.25x = 177,364.50 × 177,364.50
  4. Step 4: Simplify right side
    80,906.25x = 31,458,165,860.25
  5. Step 5: Solve for x
    x = 31,458,165,860.25/80,906.25
  6. Step 6: Final answer
    x = 388,822.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.