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Finding the Third Proportional to 188,886.94 and 408,220.59

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Solution

The third proportional to 188,886.94 and 408,220.59 is: 882,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,886.94 : 408,220.59 = 408,220.59 : x
  2. Step 2: Convert to fraction form
    188,886.94/408,220.59 = 408,220.59/x
  3. Step 3: Cross multiply
    188,886.94x = 408,220.59 × 408,220.59
  4. Step 4: Simplify right side
    188,886.94x = 166,644,053,161.60
  5. Step 5: Solve for x
    x = 166,644,053,161.60/188,886.94
  6. Step 6: Final answer
    x = 882,242.34

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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.