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Finding the Third Proportional to 254,110.92 and 338,768.58

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Solution

The third proportional to 254,110.92 and 338,768.58 is: 451,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,110.92 : 338,768.58 = 338,768.58 : x
  2. Step 2: Convert to fraction form
    254,110.92/338,768.58 = 338,768.58/x
  3. Step 3: Cross multiply
    254,110.92x = 338,768.58 × 338,768.58
  4. Step 4: Simplify right side
    254,110.92x = 114,764,149,524.83
  5. Step 5: Solve for x
    x = 114,764,149,524.83/254,110.92
  6. Step 6: Final answer
    x = 451,630.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.