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Finding the Third Proportional to 168,311 and 362,866

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Solution

The third proportional to 168,311 and 362,866 is: 782,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,311 : 362,866 = 362,866 : x
  2. Step 2: Convert to fraction form
    168,311/362,866 = 362,866/x
  3. Step 3: Cross multiply
    168,311x = 362,866 × 362,866
  4. Step 4: Simplify right side
    168,311x = 131,671,733,956
  5. Step 5: Solve for x
    x = 131,671,733,956/168,311
  6. Step 6: Final answer
    x = 782,312.11

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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.