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Finding the Third Proportional to 168,706 and 356,378

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Solution

The third proportional to 168,706 and 356,378 is: 752,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,706 : 356,378 = 356,378 : x
  2. Step 2: Convert to fraction form
    168,706/356,378 = 356,378/x
  3. Step 3: Cross multiply
    168,706x = 356,378 × 356,378
  4. Step 4: Simplify right side
    168,706x = 127,005,278,884
  5. Step 5: Solve for x
    x = 127,005,278,884/168,706
  6. Step 6: Final answer
    x = 752,820.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.