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Finding the Third Proportional to 168,960 and 247,296

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Solution

The third proportional to 168,960 and 247,296 is: 361,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,960 : 247,296 = 247,296 : x
  2. Step 2: Convert to fraction form
    168,960/247,296 = 247,296/x
  3. Step 3: Cross multiply
    168,960x = 247,296 × 247,296
  4. Step 4: Simplify right side
    168,960x = 61,155,311,616
  5. Step 5: Solve for x
    x = 61,155,311,616/168,960
  6. Step 6: Final answer
    x = 361,951.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.