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Finding the Third Proportional to 190,087 and 408,253

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Solution

The third proportional to 190,087 and 408,253 is: 876,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,087 : 408,253 = 408,253 : x
  2. Step 2: Convert to fraction form
    190,087/408,253 = 408,253/x
  3. Step 3: Cross multiply
    190,087x = 408,253 × 408,253
  4. Step 4: Simplify right side
    190,087x = 166,670,512,009
  5. Step 5: Solve for x
    x = 166,670,512,009/190,087
  6. Step 6: Final answer
    x = 876,811.73

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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.