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Finding the Third Proportional to 168,864 and 263,520

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Solution

The third proportional to 168,864 and 263,520 is: 411,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,864 : 263,520 = 263,520 : x
  2. Step 2: Convert to fraction form
    168,864/263,520 = 263,520/x
  3. Step 3: Cross multiply
    168,864x = 263,520 × 263,520
  4. Step 4: Simplify right side
    168,864x = 69,442,790,400
  5. Step 5: Solve for x
    x = 69,442,790,400/168,864
  6. Step 6: Final answer
    x = 411,235.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.