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Finding the Third Proportional to 192,556.13 and 410,872.50

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Solution

The third proportional to 192,556.13 and 410,872.50 is: 876,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,556.13 : 410,872.50 = 410,872.50 : x
  2. Step 2: Convert to fraction form
    192,556.13/410,872.50 = 410,872.50/x
  3. Step 3: Cross multiply
    192,556.13x = 410,872.50 × 410,872.50
  4. Step 4: Simplify right side
    192,556.13x = 168,816,211,256.25
  5. Step 5: Solve for x
    x = 168,816,211,256.25/192,556.13
  6. Step 6: Final answer
    x = 876,711.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.