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Finding the Third Proportional to 192,097 and 281,917.50

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Solution

The third proportional to 192,097 and 281,917.50 is: 413,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,097 : 281,917.50 = 281,917.50 : x
  2. Step 2: Convert to fraction form
    192,097/281,917.50 = 281,917.50/x
  3. Step 3: Cross multiply
    192,097x = 281,917.50 × 281,917.50
  4. Step 4: Simplify right side
    192,097x = 79,477,476,806.25
  5. Step 5: Solve for x
    x = 79,477,476,806.25/192,097
  6. Step 6: Final answer
    x = 413,736.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.