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Finding the Third Proportional to 168,426.84 and 252,640.27

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Solution

The third proportional to 168,426.84 and 252,640.27 is: 378,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,426.84 : 252,640.27 = 252,640.27 : x
  2. Step 2: Convert to fraction form
    168,426.84/252,640.27 = 252,640.27/x
  3. Step 3: Cross multiply
    168,426.84x = 252,640.27 × 252,640.27
  4. Step 4: Simplify right side
    168,426.84x = 63,827,103,815.07
  5. Step 5: Solve for x
    x = 63,827,103,815.07/168,426.84
  6. Step 6: Final answer
    x = 378,960.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.