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Finding the Third Proportional to 168,662.25 and 362,337.75

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Solution

The third proportional to 168,662.25 and 362,337.75 is: 778,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,662.25 : 362,337.75 = 362,337.75 : x
  2. Step 2: Convert to fraction form
    168,662.25/362,337.75 = 362,337.75/x
  3. Step 3: Cross multiply
    168,662.25x = 362,337.75 × 362,337.75
  4. Step 4: Simplify right side
    168,662.25x = 131,288,645,075.06
  5. Step 5: Solve for x
    x = 131,288,645,075.06/168,662.25
  6. Step 6: Final answer
    x = 778,411.56

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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.