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Finding the Third Proportional to 136,954.97 and 298,821.66

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Solution

The third proportional to 136,954.97 and 298,821.66 is: 651,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,954.97 : 298,821.66 = 298,821.66 : x
  2. Step 2: Convert to fraction form
    136,954.97/298,821.66 = 298,821.66/x
  3. Step 3: Cross multiply
    136,954.97x = 298,821.66 × 298,821.66
  4. Step 4: Simplify right side
    136,954.97x = 89,294,382,243.99
  5. Step 5: Solve for x
    x = 89,294,382,243.99/136,954.97
  6. Step 6: Final answer
    x = 651,998.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.