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Finding the Third Proportional to 192,315.75 and 417,801

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Solution

The third proportional to 192,315.75 and 417,801 is: 907,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,315.75 : 417,801 = 417,801 : x
  2. Step 2: Convert to fraction form
    192,315.75/417,801 = 417,801/x
  3. Step 3: Cross multiply
    192,315.75x = 417,801 × 417,801
  4. Step 4: Simplify right side
    192,315.75x = 174,557,675,601
  5. Step 5: Solve for x
    x = 174,557,675,601/192,315.75
  6. Step 6: Final answer
    x = 907,661.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.