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Finding the Third Proportional to 192,798 and 417,768

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Solution

The third proportional to 192,798 and 417,768 is: 905,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,798 : 417,768 = 417,768 : x
  2. Step 2: Convert to fraction form
    192,798/417,768 = 417,768/x
  3. Step 3: Cross multiply
    192,798x = 417,768 × 417,768
  4. Step 4: Simplify right side
    192,798x = 174,530,101,824
  5. Step 5: Solve for x
    x = 174,530,101,824/192,798
  6. Step 6: Final answer
    x = 905,248.51

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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.