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Finding the Third Proportional to 134,240 and 188,175

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Solution

The third proportional to 134,240 and 188,175 is: 263,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,240 : 188,175 = 188,175 : x
  2. Step 2: Convert to fraction form
    134,240/188,175 = 188,175/x
  3. Step 3: Cross multiply
    134,240x = 188,175 × 188,175
  4. Step 4: Simplify right side
    134,240x = 35,409,830,625
  5. Step 5: Solve for x
    x = 35,409,830,625/134,240
  6. Step 6: Final answer
    x = 263,780.03

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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.