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Finding the Third Proportional to 168,960 and 364,704

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Solution

The third proportional to 168,960 and 364,704 is: 787,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,960 : 364,704 = 364,704 : x
  2. Step 2: Convert to fraction form
    168,960/364,704 = 364,704/x
  3. Step 3: Cross multiply
    168,960x = 364,704 × 364,704
  4. Step 4: Simplify right side
    168,960x = 133,009,007,616
  5. Step 5: Solve for x
    x = 133,009,007,616/168,960
  6. Step 6: Final answer
    x = 787,221.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.