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Finding the Third Proportional to 120,944.25 and 257,928.75

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Solution

The third proportional to 120,944.25 and 257,928.75 is: 550,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,944.25 : 257,928.75 = 257,928.75 : x
  2. Step 2: Convert to fraction form
    120,944.25/257,928.75 = 257,928.75/x
  3. Step 3: Cross multiply
    120,944.25x = 257,928.75 × 257,928.75
  4. Step 4: Simplify right side
    120,944.25x = 66,527,240,076.56
  5. Step 5: Solve for x
    x = 66,527,240,076.56/120,944.25
  6. Step 6: Final answer
    x = 550,065.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.