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Finding the Third Proportional to 168,372 and 368,412

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Solution

The third proportional to 168,372 and 368,412 is: 806,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,372 : 368,412 = 368,412 : x
  2. Step 2: Convert to fraction form
    168,372/368,412 = 368,412/x
  3. Step 3: Cross multiply
    168,372x = 368,412 × 368,412
  4. Step 4: Simplify right side
    168,372x = 135,727,401,744
  5. Step 5: Solve for x
    x = 135,727,401,744/168,372
  6. Step 6: Final answer
    x = 806,116.23

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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.