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Finding the Third Proportional to 188,859.94 and 414,932.63

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Solution

The third proportional to 188,859.94 and 414,932.63 is: 911,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,859.94 : 414,932.63 = 414,932.63 : x
  2. Step 2: Convert to fraction form
    188,859.94/414,932.63 = 414,932.63/x
  3. Step 3: Cross multiply
    188,859.94x = 414,932.63 × 414,932.63
  4. Step 4: Simplify right side
    188,859.94x = 172,169,083,289.39
  5. Step 5: Solve for x
    x = 172,169,083,289.39/188,859.94
  6. Step 6: Final answer
    x = 911,623.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.