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Finding the Third Proportional to 158,382 and 336,198

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Solution

The third proportional to 158,382 and 336,198 is: 713,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,382 : 336,198 = 336,198 : x
  2. Step 2: Convert to fraction form
    158,382/336,198 = 336,198/x
  3. Step 3: Cross multiply
    158,382x = 336,198 × 336,198
  4. Step 4: Simplify right side
    158,382x = 113,029,095,204
  5. Step 5: Solve for x
    x = 113,029,095,204/158,382
  6. Step 6: Final answer
    x = 713,648.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.