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Finding the Third Proportional to 84,696 and 182,784

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Solution

The third proportional to 84,696 and 182,784 is: 394,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,696 : 182,784 = 182,784 : x
  2. Step 2: Convert to fraction form
    84,696/182,784 = 182,784/x
  3. Step 3: Cross multiply
    84,696x = 182,784 × 182,784
  4. Step 4: Simplify right side
    84,696x = 33,409,990,656
  5. Step 5: Solve for x
    x = 33,409,990,656/84,696
  6. Step 6: Final answer
    x = 394,469.52

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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.