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Finding the Third Proportional to 168,780 and 362,592

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Solution

The third proportional to 168,780 and 362,592 is: 778,960.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,780 : 362,592 = 362,592 : x
  2. Step 2: Convert to fraction form
    168,780/362,592 = 362,592/x
  3. Step 3: Cross multiply
    168,780x = 362,592 × 362,592
  4. Step 4: Simplify right side
    168,780x = 131,472,958,464
  5. Step 5: Solve for x
    x = 131,472,958,464/168,780
  6. Step 6: Final answer
    x = 778,960.53

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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.