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Finding the Third Proportional to 168,551 and 362,116

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Solution

The third proportional to 168,551 and 362,116 is: 777,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,551 : 362,116 = 362,116 : x
  2. Step 2: Convert to fraction form
    168,551/362,116 = 362,116/x
  3. Step 3: Cross multiply
    168,551x = 362,116 × 362,116
  4. Step 4: Simplify right side
    168,551x = 131,127,997,456
  5. Step 5: Solve for x
    x = 131,127,997,456/168,551
  6. Step 6: Final answer
    x = 777,972.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.