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Finding the Third Proportional to 134,874 and 208,395

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Solution

The third proportional to 134,874 and 208,395 is: 321,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,874 : 208,395 = 208,395 : x
  2. Step 2: Convert to fraction form
    134,874/208,395 = 208,395/x
  3. Step 3: Cross multiply
    134,874x = 208,395 × 208,395
  4. Step 4: Simplify right side
    134,874x = 43,428,476,025
  5. Step 5: Solve for x
    x = 43,428,476,025/134,874
  6. Step 6: Final answer
    x = 321,992.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.