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Finding the Third Proportional to 174,683 and 263,474

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Solution

The third proportional to 174,683 and 263,474 is: 397,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,683 : 263,474 = 263,474 : x
  2. Step 2: Convert to fraction form
    174,683/263,474 = 263,474/x
  3. Step 3: Cross multiply
    174,683x = 263,474 × 263,474
  4. Step 4: Simplify right side
    174,683x = 69,418,548,676
  5. Step 5: Solve for x
    x = 69,418,548,676/174,683
  6. Step 6: Final answer
    x = 397,397.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.