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Finding the Third Proportional to 136,161 and 298,161

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Solution

The third proportional to 136,161 and 298,161 is: 652,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,161 : 298,161 = 298,161 : x
  2. Step 2: Convert to fraction form
    136,161/298,161 = 298,161/x
  3. Step 3: Cross multiply
    136,161x = 298,161 × 298,161
  4. Step 4: Simplify right side
    136,161x = 88,899,981,921
  5. Step 5: Solve for x
    x = 88,899,981,921/136,161
  6. Step 6: Final answer
    x = 652,903.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.