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Finding the Third Proportional to 168,552.75 and 362,121

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Solution

The third proportional to 168,552.75 and 362,121 is: 777,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,552.75 : 362,121 = 362,121 : x
  2. Step 2: Convert to fraction form
    168,552.75/362,121 = 362,121/x
  3. Step 3: Cross multiply
    168,552.75x = 362,121 × 362,121
  4. Step 4: Simplify right side
    168,552.75x = 131,131,618,641
  5. Step 5: Solve for x
    x = 131,131,618,641/168,552.75
  6. Step 6: Final answer
    x = 777,985.64

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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.