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Finding the Third Proportional to 84,816 and 181,296

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Solution

The third proportional to 84,816 and 181,296 is: 387,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,816 : 181,296 = 181,296 : x
  2. Step 2: Convert to fraction form
    84,816/181,296 = 181,296/x
  3. Step 3: Cross multiply
    84,816x = 181,296 × 181,296
  4. Step 4: Simplify right side
    84,816x = 32,868,239,616
  5. Step 5: Solve for x
    x = 32,868,239,616/84,816
  6. Step 6: Final answer
    x = 387,524.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.