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Finding the Third Proportional to 169,405 and 368,333

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Solution

The third proportional to 169,405 and 368,333 is: 800,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,405 : 368,333 = 368,333 : x
  2. Step 2: Convert to fraction form
    169,405/368,333 = 368,333/x
  3. Step 3: Cross multiply
    169,405x = 368,333 × 368,333
  4. Step 4: Simplify right side
    169,405x = 135,669,198,889
  5. Step 5: Solve for x
    x = 135,669,198,889/169,405
  6. Step 6: Final answer
    x = 800,857.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.