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Finding the Third Proportional to 185,188.78 and 276,993.42

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Solution

The third proportional to 185,188.78 and 276,993.42 is: 414,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,188.78 : 276,993.42 = 276,993.42 : x
  2. Step 2: Convert to fraction form
    185,188.78/276,993.42 = 276,993.42/x
  3. Step 3: Cross multiply
    185,188.78x = 276,993.42 × 276,993.42
  4. Step 4: Simplify right side
    185,188.78x = 76,725,355,762.02
  5. Step 5: Solve for x
    x = 76,725,355,762.02/185,188.78
  6. Step 6: Final answer
    x = 414,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.