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Finding the Third Proportional to 171,222 and 368,796

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Solution

The third proportional to 171,222 and 368,796 is: 794,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,222 : 368,796 = 368,796 : x
  2. Step 2: Convert to fraction form
    171,222/368,796 = 368,796/x
  3. Step 3: Cross multiply
    171,222x = 368,796 × 368,796
  4. Step 4: Simplify right side
    171,222x = 136,010,489,616
  5. Step 5: Solve for x
    x = 136,010,489,616/171,222
  6. Step 6: Final answer
    x = 794,351.72

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