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Finding the Third Proportional to 192,188 and 413,899

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Solution

The third proportional to 192,188 and 413,899 is: 891,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,188 : 413,899 = 413,899 : x
  2. Step 2: Convert to fraction form
    192,188/413,899 = 413,899/x
  3. Step 3: Cross multiply
    192,188x = 413,899 × 413,899
  4. Step 4: Simplify right side
    192,188x = 171,312,382,201
  5. Step 5: Solve for x
    x = 171,312,382,201/192,188
  6. Step 6: Final answer
    x = 891,379.18

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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.