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Finding the Third Proportional to 79,344 and 168,864

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Solution

The third proportional to 79,344 and 168,864 is: 359,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,344 : 168,864 = 168,864 : x
  2. Step 2: Convert to fraction form
    79,344/168,864 = 168,864/x
  3. Step 3: Cross multiply
    79,344x = 168,864 × 168,864
  4. Step 4: Simplify right side
    79,344x = 28,515,050,496
  5. Step 5: Solve for x
    x = 28,515,050,496/79,344
  6. Step 6: Final answer
    x = 359,385.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.