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Finding the Third Proportional to 134,446 and 188,425

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Solution

The third proportional to 134,446 and 188,425 is: 264,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,446 : 188,425 = 188,425 : x
  2. Step 2: Convert to fraction form
    134,446/188,425 = 188,425/x
  3. Step 3: Cross multiply
    134,446x = 188,425 × 188,425
  4. Step 4: Simplify right side
    134,446x = 35,503,980,625
  5. Step 5: Solve for x
    x = 35,503,980,625/134,446
  6. Step 6: Final answer
    x = 264,076.14

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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.