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Finding the Third Proportional to 268,094.25 and 558,240.75

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Solution

The third proportional to 268,094.25 and 558,240.75 is: 1,162,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,094.25 : 558,240.75 = 558,240.75 : x
  2. Step 2: Convert to fraction form
    268,094.25/558,240.75 = 558,240.75/x
  3. Step 3: Cross multiply
    268,094.25x = 558,240.75 × 558,240.75
  4. Step 4: Simplify right side
    268,094.25x = 311,632,734,960.56
  5. Step 5: Solve for x
    x = 311,632,734,960.56/268,094.25
  6. Step 6: Final answer
    x = 1,162,399.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.