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Finding the Third Proportional to 136,094 and 298,756

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Solution

The third proportional to 136,094 and 298,756 is: 655,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,094 : 298,756 = 298,756 : x
  2. Step 2: Convert to fraction form
    136,094/298,756 = 298,756/x
  3. Step 3: Cross multiply
    136,094x = 298,756 × 298,756
  4. Step 4: Simplify right side
    136,094x = 89,255,147,536
  5. Step 5: Solve for x
    x = 89,255,147,536/136,094
  6. Step 6: Final answer
    x = 655,834.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.