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Finding the Third Proportional to 116,907 and 188,271

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Solution

The third proportional to 116,907 and 188,271 is: 303,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,907 : 188,271 = 188,271 : x
  2. Step 2: Convert to fraction form
    116,907/188,271 = 188,271/x
  3. Step 3: Cross multiply
    116,907x = 188,271 × 188,271
  4. Step 4: Simplify right side
    116,907x = 35,445,969,441
  5. Step 5: Solve for x
    x = 35,445,969,441/116,907
  6. Step 6: Final answer
    x = 303,198.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.