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Finding the Third Proportional to 192,288.94 and 414,147.94

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Solution

The third proportional to 192,288.94 and 414,147.94 is: 891,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,288.94 : 414,147.94 = 414,147.94 : x
  2. Step 2: Convert to fraction form
    192,288.94/414,147.94 = 414,147.94/x
  3. Step 3: Cross multiply
    192,288.94x = 414,147.94 × 414,147.94
  4. Step 4: Simplify right side
    192,288.94x = 171,518,514,135.50
  5. Step 5: Solve for x
    x = 171,518,514,135.50/192,288.94
  6. Step 6: Final answer
    x = 891,983.26

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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.