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Finding the Third Proportional to 168,328 and 362,088

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Solution

The third proportional to 168,328 and 362,088 is: 778,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,328 : 362,088 = 362,088 : x
  2. Step 2: Convert to fraction form
    168,328/362,088 = 362,088/x
  3. Step 3: Cross multiply
    168,328x = 362,088 × 362,088
  4. Step 4: Simplify right side
    168,328x = 131,107,719,744
  5. Step 5: Solve for x
    x = 131,107,719,744/168,328
  6. Step 6: Final answer
    x = 778,882.42

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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.