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Finding the Third Proportional to 134,288 and 188,247

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Solution

The third proportional to 134,288 and 188,247 is: 263,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,288 : 188,247 = 188,247 : x
  2. Step 2: Convert to fraction form
    134,288/188,247 = 188,247/x
  3. Step 3: Cross multiply
    134,288x = 188,247 × 188,247
  4. Step 4: Simplify right side
    134,288x = 35,436,933,009
  5. Step 5: Solve for x
    x = 35,436,933,009/134,288
  6. Step 6: Final answer
    x = 263,887.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.