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Finding the Third Proportional to 168,563.25 and 362,139.75

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Solution

The third proportional to 168,563.25 and 362,139.75 is: 778,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,563.25 : 362,139.75 = 362,139.75 : x
  2. Step 2: Convert to fraction form
    168,563.25/362,139.75 = 362,139.75/x
  3. Step 3: Cross multiply
    168,563.25x = 362,139.75 × 362,139.75
  4. Step 4: Simplify right side
    168,563.25x = 131,145,198,530.06
  5. Step 5: Solve for x
    x = 131,145,198,530.06/168,563.25
  6. Step 6: Final answer
    x = 778,017.74

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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.