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Finding the Third Proportional to 136,965.50 and 298,845

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Solution

The third proportional to 136,965.50 and 298,845 is: 652,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,965.50 : 298,845 = 298,845 : x
  2. Step 2: Convert to fraction form
    136,965.50/298,845 = 298,845/x
  3. Step 3: Cross multiply
    136,965.50x = 298,845 × 298,845
  4. Step 4: Simplify right side
    136,965.50x = 89,308,334,025
  5. Step 5: Solve for x
    x = 89,308,334,025/136,965.50
  6. Step 6: Final answer
    x = 652,049.85

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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.