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Finding the Third Proportional to 95,348 and 188,302

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Solution

The third proportional to 95,348 and 188,302 is: 371,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,348 : 188,302 = 188,302 : x
  2. Step 2: Convert to fraction form
    95,348/188,302 = 188,302/x
  3. Step 3: Cross multiply
    95,348x = 188,302 × 188,302
  4. Step 4: Simplify right side
    95,348x = 35,457,643,204
  5. Step 5: Solve for x
    x = 35,457,643,204/95,348
  6. Step 6: Final answer
    x = 371,876.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.