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Finding the Third Proportional to 84,816 and 179,640

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Solution

The third proportional to 84,816 and 179,640 is: 380,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,816 : 179,640 = 179,640 : x
  2. Step 2: Convert to fraction form
    84,816/179,640 = 179,640/x
  3. Step 3: Cross multiply
    84,816x = 179,640 × 179,640
  4. Step 4: Simplify right side
    84,816x = 32,270,529,600
  5. Step 5: Solve for x
    x = 32,270,529,600/84,816
  6. Step 6: Final answer
    x = 380,476.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.