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Finding the Third Proportional to 195,223 and 295,293

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Solution

The third proportional to 195,223 and 295,293 is: 446,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,223 : 295,293 = 295,293 : x
  2. Step 2: Convert to fraction form
    195,223/295,293 = 295,293/x
  3. Step 3: Cross multiply
    195,223x = 295,293 × 295,293
  4. Step 4: Simplify right side
    195,223x = 87,197,955,849
  5. Step 5: Solve for x
    x = 87,197,955,849/195,223
  6. Step 6: Final answer
    x = 446,658.21

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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.