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Finding the Third Proportional to 168,306 and 362,856

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Solution

The third proportional to 168,306 and 362,856 is: 782,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,306 : 362,856 = 362,856 : x
  2. Step 2: Convert to fraction form
    168,306/362,856 = 362,856/x
  3. Step 3: Cross multiply
    168,306x = 362,856 × 362,856
  4. Step 4: Simplify right side
    168,306x = 131,664,476,736
  5. Step 5: Solve for x
    x = 131,664,476,736/168,306
  6. Step 6: Final answer
    x = 782,292.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.