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Finding the Third Proportional to 192,553.88 and 410,869.13

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Solution

The third proportional to 192,553.88 and 410,869.13 is: 876,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,553.88 : 410,869.13 = 410,869.13 : x
  2. Step 2: Convert to fraction form
    192,553.88/410,869.13 = 410,869.13/x
  3. Step 3: Cross multiply
    192,553.88x = 410,869.13 × 410,869.13
  4. Step 4: Simplify right side
    192,553.88x = 168,813,437,878.27
  5. Step 5: Solve for x
    x = 168,813,437,878.27/192,553.88
  6. Step 6: Final answer
    x = 876,707.56

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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.