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Finding the Third Proportional to 134,260 and 188,200

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Solution

The third proportional to 134,260 and 188,200 is: 263,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,260 : 188,200 = 188,200 : x
  2. Step 2: Convert to fraction form
    134,260/188,200 = 188,200/x
  3. Step 3: Cross multiply
    134,260x = 188,200 × 188,200
  4. Step 4: Simplify right side
    134,260x = 35,419,240,000
  5. Step 5: Solve for x
    x = 35,419,240,000/134,260
  6. Step 6: Final answer
    x = 263,810.81

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