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Finding the Third Proportional to 185,190 and 262,214

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Solution

The third proportional to 185,190 and 262,214 is: 371,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,190 : 262,214 = 262,214 : x
  2. Step 2: Convert to fraction form
    185,190/262,214 = 262,214/x
  3. Step 3: Cross multiply
    185,190x = 262,214 × 262,214
  4. Step 4: Simplify right side
    185,190x = 68,756,181,796
  5. Step 5: Solve for x
    x = 68,756,181,796/185,190
  6. Step 6: Final answer
    x = 371,273.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.