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Finding the Third Proportional to 192,566.11 and 415,578.94

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Solution

The third proportional to 192,566.11 and 415,578.94 is: 896,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,566.11 : 415,578.94 = 415,578.94 : x
  2. Step 2: Convert to fraction form
    192,566.11/415,578.94 = 415,578.94/x
  3. Step 3: Cross multiply
    192,566.11x = 415,578.94 × 415,578.94
  4. Step 4: Simplify right side
    192,566.11x = 172,705,853,293.63
  5. Step 5: Solve for x
    x = 172,705,853,293.63/192,566.11
  6. Step 6: Final answer
    x = 896,865.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.