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Finding the Third Proportional to 192,252.04 and 414,086.24

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Solution

The third proportional to 192,252.04 and 414,086.24 is: 891,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,252.04 : 414,086.24 = 414,086.24 : x
  2. Step 2: Convert to fraction form
    192,252.04/414,086.24 = 414,086.24/x
  3. Step 3: Cross multiply
    192,252.04x = 414,086.24 × 414,086.24
  4. Step 4: Simplify right side
    192,252.04x = 171,467,412,733.92
  5. Step 5: Solve for x
    x = 171,467,412,733.92/192,252.04
  6. Step 6: Final answer
    x = 891,888.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.