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Finding the Third Proportional to 190,099 and 408,277

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Solution

The third proportional to 190,099 and 408,277 is: 876,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,099 : 408,277 = 408,277 : x
  2. Step 2: Convert to fraction form
    190,099/408,277 = 408,277/x
  3. Step 3: Cross multiply
    190,099x = 408,277 × 408,277
  4. Step 4: Simplify right side
    190,099x = 166,690,108,729
  5. Step 5: Solve for x
    x = 166,690,108,729/190,099
  6. Step 6: Final answer
    x = 876,859.47

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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.