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Finding the Third Proportional to 281,049.75 and 414,132.75

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Solution

The third proportional to 281,049.75 and 414,132.75 is: 610,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,049.75 : 414,132.75 = 414,132.75 : x
  2. Step 2: Convert to fraction form
    281,049.75/414,132.75 = 414,132.75/x
  3. Step 3: Cross multiply
    281,049.75x = 414,132.75 × 414,132.75
  4. Step 4: Simplify right side
    281,049.75x = 171,505,934,622.56
  5. Step 5: Solve for x
    x = 171,505,934,622.56/281,049.75
  6. Step 6: Final answer
    x = 610,233.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.