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Finding the Third Proportional to 179,816 and 270,186

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Solution

The third proportional to 179,816 and 270,186 is: 405,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,816 : 270,186 = 270,186 : x
  2. Step 2: Convert to fraction form
    179,816/270,186 = 270,186/x
  3. Step 3: Cross multiply
    179,816x = 270,186 × 270,186
  4. Step 4: Simplify right side
    179,816x = 73,000,474,596
  5. Step 5: Solve for x
    x = 73,000,474,596/179,816
  6. Step 6: Final answer
    x = 405,973.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.