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Finding the Third Proportional to 168,788 and 362,608

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Solution

The third proportional to 168,788 and 362,608 is: 778,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,788 : 362,608 = 362,608 : x
  2. Step 2: Convert to fraction form
    168,788/362,608 = 362,608/x
  3. Step 3: Cross multiply
    168,788x = 362,608 × 362,608
  4. Step 4: Simplify right side
    168,788x = 131,484,561,664
  5. Step 5: Solve for x
    x = 131,484,561,664/168,788
  6. Step 6: Final answer
    x = 778,992.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.