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Finding the Third Proportional to 188,797.50 and 410,464.13

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Solution

The third proportional to 188,797.50 and 410,464.13 is: 892,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,797.50 : 410,464.13 = 410,464.13 : x
  2. Step 2: Convert to fraction form
    188,797.50/410,464.13 = 410,464.13/x
  3. Step 3: Cross multiply
    188,797.50x = 410,464.13 × 410,464.13
  4. Step 4: Simplify right side
    188,797.50x = 168,480,797,912.02
  5. Step 5: Solve for x
    x = 168,480,797,912.02/188,797.50
  6. Step 6: Final answer
    x = 892,388.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.