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Finding the Third Proportional to 134,232 and 188,164

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Solution

The third proportional to 134,232 and 188,164 is: 263,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,232 : 188,164 = 188,164 : x
  2. Step 2: Convert to fraction form
    134,232/188,164 = 188,164/x
  3. Step 3: Cross multiply
    134,232x = 188,164 × 188,164
  4. Step 4: Simplify right side
    134,232x = 35,405,690,896
  5. Step 5: Solve for x
    x = 35,405,690,896/134,232
  6. Step 6: Final answer
    x = 263,764.91

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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.