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Finding the Third Proportional to 141,345 and 194,517

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Solution

The third proportional to 141,345 and 194,517 is: 267,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,345 : 194,517 = 194,517 : x
  2. Step 2: Convert to fraction form
    141,345/194,517 = 194,517/x
  3. Step 3: Cross multiply
    141,345x = 194,517 × 194,517
  4. Step 4: Simplify right side
    141,345x = 37,836,863,289
  5. Step 5: Solve for x
    x = 37,836,863,289/141,345
  6. Step 6: Final answer
    x = 267,691.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.