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Finding the Third Proportional to 188,692 and 275,261

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Solution

The third proportional to 188,692 and 275,261 is: 401,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,692 : 275,261 = 275,261 : x
  2. Step 2: Convert to fraction form
    188,692/275,261 = 275,261/x
  3. Step 3: Cross multiply
    188,692x = 275,261 × 275,261
  4. Step 4: Simplify right side
    188,692x = 75,768,618,121
  5. Step 5: Solve for x
    x = 75,768,618,121/188,692
  6. Step 6: Final answer
    x = 401,546.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.