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Finding the Third Proportional to 165,282 and 356,799

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Solution

The third proportional to 165,282 and 356,799 is: 770,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,282 : 356,799 = 356,799 : x
  2. Step 2: Convert to fraction form
    165,282/356,799 = 356,799/x
  3. Step 3: Cross multiply
    165,282x = 356,799 × 356,799
  4. Step 4: Simplify right side
    165,282x = 127,305,526,401
  5. Step 5: Solve for x
    x = 127,305,526,401/165,282
  6. Step 6: Final answer
    x = 770,232.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.