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Finding the Third Proportional to 131,195 and 206,253

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Solution

The third proportional to 131,195 and 206,253 is: 324,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,195 : 206,253 = 206,253 : x
  2. Step 2: Convert to fraction form
    131,195/206,253 = 206,253/x
  3. Step 3: Cross multiply
    131,195x = 206,253 × 206,253
  4. Step 4: Simplify right side
    131,195x = 42,540,300,009
  5. Step 5: Solve for x
    x = 42,540,300,009/131,195
  6. Step 6: Final answer
    x = 324,252.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.