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Finding the Third Proportional to 168,549.75 and 362,112

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Solution

The third proportional to 168,549.75 and 362,112 is: 777,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,549.75 : 362,112 = 362,112 : x
  2. Step 2: Convert to fraction form
    168,549.75/362,112 = 362,112/x
  3. Step 3: Cross multiply
    168,549.75x = 362,112 × 362,112
  4. Step 4: Simplify right side
    168,549.75x = 131,125,100,544
  5. Step 5: Solve for x
    x = 131,125,100,544/168,549.75
  6. Step 6: Final answer
    x = 777,960.81

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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.