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Finding the Third Proportional to 202,696 and 305,260

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Solution

The third proportional to 202,696 and 305,260 is: 459,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,696 : 305,260 = 305,260 : x
  2. Step 2: Convert to fraction form
    202,696/305,260 = 305,260/x
  3. Step 3: Cross multiply
    202,696x = 305,260 × 305,260
  4. Step 4: Simplify right side
    202,696x = 93,183,667,600
  5. Step 5: Solve for x
    x = 93,183,667,600/202,696
  6. Step 6: Final answer
    x = 459,721.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.