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Finding the Third Proportional to 188,936.30 and 408,308.34

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Solution

The third proportional to 188,936.30 and 408,308.34 is: 882,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,936.30 : 408,308.34 = 408,308.34 : x
  2. Step 2: Convert to fraction form
    188,936.30/408,308.34 = 408,308.34/x
  3. Step 3: Cross multiply
    188,936.30x = 408,308.34 × 408,308.34
  4. Step 4: Simplify right side
    188,936.30x = 166,715,703,575.87
  5. Step 5: Solve for x
    x = 166,715,703,575.87/188,936.30
  6. Step 6: Final answer
    x = 882,391.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.