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Finding the Third Proportional to 192,300.75 and 420,846.38

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Solution

The third proportional to 192,300.75 and 420,846.38 is: 921,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,300.75 : 420,846.38 = 420,846.38 : x
  2. Step 2: Convert to fraction form
    192,300.75/420,846.38 = 420,846.38/x
  3. Step 3: Cross multiply
    192,300.75x = 420,846.38 × 420,846.38
  4. Step 4: Simplify right side
    192,300.75x = 177,111,671,350.64
  5. Step 5: Solve for x
    x = 177,111,671,350.64/192,300.75
  6. Step 6: Final answer
    x = 921,013.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.