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Finding the Third Proportional to 168,402 and 368,512

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Solution

The third proportional to 168,402 and 368,512 is: 806,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,402 : 368,512 = 368,512 : x
  2. Step 2: Convert to fraction form
    168,402/368,512 = 368,512/x
  3. Step 3: Cross multiply
    168,402x = 368,512 × 368,512
  4. Step 4: Simplify right side
    168,402x = 135,801,094,144
  5. Step 5: Solve for x
    x = 135,801,094,144/168,402
  6. Step 6: Final answer
    x = 806,410.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.