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Finding the Third Proportional to 205,200 and 327,816

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Solution

The third proportional to 205,200 and 327,816 is: 523,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,200 : 327,816 = 327,816 : x
  2. Step 2: Convert to fraction form
    205,200/327,816 = 327,816/x
  3. Step 3: Cross multiply
    205,200x = 327,816 × 327,816
  4. Step 4: Simplify right side
    205,200x = 107,463,329,856
  5. Step 5: Solve for x
    x = 107,463,329,856/205,200
  6. Step 6: Final answer
    x = 523,700.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.