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Finding the Third Proportional to 135,831 and 296,907

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Solution

The third proportional to 135,831 and 296,907 is: 648,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,831 : 296,907 = 296,907 : x
  2. Step 2: Convert to fraction form
    135,831/296,907 = 296,907/x
  3. Step 3: Cross multiply
    135,831x = 296,907 × 296,907
  4. Step 4: Simplify right side
    135,831x = 88,153,766,649
  5. Step 5: Solve for x
    x = 88,153,766,649/135,831
  6. Step 6: Final answer
    x = 648,995.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.