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Finding the Third Proportional to 179,896.50 and 387,479.75

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Solution

The third proportional to 179,896.50 and 387,479.75 is: 834,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,896.50 : 387,479.75 = 387,479.75 : x
  2. Step 2: Convert to fraction form
    179,896.50/387,479.75 = 387,479.75/x
  3. Step 3: Cross multiply
    179,896.50x = 387,479.75 × 387,479.75
  4. Step 4: Simplify right side
    179,896.50x = 150,140,556,660.06
  5. Step 5: Solve for x
    x = 150,140,556,660.06/179,896.50
  6. Step 6: Final answer
    x = 834,594.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.