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Finding the Third Proportional to 141,968 and 313,474

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Solution

The third proportional to 141,968 and 313,474 is: 692,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,968 : 313,474 = 313,474 : x
  2. Step 2: Convert to fraction form
    141,968/313,474 = 313,474/x
  3. Step 3: Cross multiply
    141,968x = 313,474 × 313,474
  4. Step 4: Simplify right side
    141,968x = 98,265,948,676
  5. Step 5: Solve for x
    x = 98,265,948,676/141,968
  6. Step 6: Final answer
    x = 692,169.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.