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Finding the Third Proportional to 195,229 and 295,302

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Solution

The third proportional to 195,229 and 295,302 is: 446,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,229 : 295,302 = 295,302 : x
  2. Step 2: Convert to fraction form
    195,229/295,302 = 295,302/x
  3. Step 3: Cross multiply
    195,229x = 295,302 × 295,302
  4. Step 4: Simplify right side
    195,229x = 87,203,271,204
  5. Step 5: Solve for x
    x = 87,203,271,204/195,229
  6. Step 6: Final answer
    x = 446,671.71

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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.