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Finding the Third Proportional to 145,958 and 313,744

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Solution

The third proportional to 145,958 and 313,744 is: 674,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,958 : 313,744 = 313,744 : x
  2. Step 2: Convert to fraction form
    145,958/313,744 = 313,744/x
  3. Step 3: Cross multiply
    145,958x = 313,744 × 313,744
  4. Step 4: Simplify right side
    145,958x = 98,435,297,536
  5. Step 5: Solve for x
    x = 98,435,297,536/145,958
  6. Step 6: Final answer
    x = 674,408.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.