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Finding the Third Proportional to 107,777 and 234,856

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Solution

The third proportional to 107,777 and 234,856 is: 511,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,777 : 234,856 = 234,856 : x
  2. Step 2: Convert to fraction form
    107,777/234,856 = 234,856/x
  3. Step 3: Cross multiply
    107,777x = 234,856 × 234,856
  4. Step 4: Simplify right side
    107,777x = 55,157,340,736
  5. Step 5: Solve for x
    x = 55,157,340,736/107,777
  6. Step 6: Final answer
    x = 511,772.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.