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Finding the Third Proportional to 145,986 and 313,795

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Solution

The third proportional to 145,986 and 313,795 is: 674,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,986 : 313,795 = 313,795 : x
  2. Step 2: Convert to fraction form
    145,986/313,795 = 313,795/x
  3. Step 3: Cross multiply
    145,986x = 313,795 × 313,795
  4. Step 4: Simplify right side
    145,986x = 98,467,302,025
  5. Step 5: Solve for x
    x = 98,467,302,025/145,986
  6. Step 6: Final answer
    x = 674,498.25

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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.