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Finding the Third Proportional to 168,918 and 367,041

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Solution

The third proportional to 168,918 and 367,041 is: 797,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,918 : 367,041 = 367,041 : x
  2. Step 2: Convert to fraction form
    168,918/367,041 = 367,041/x
  3. Step 3: Cross multiply
    168,918x = 367,041 × 367,041
  4. Step 4: Simplify right side
    168,918x = 134,719,095,681
  5. Step 5: Solve for x
    x = 134,719,095,681/168,918
  6. Step 6: Final answer
    x = 797,541.39

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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.