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Finding the Third Proportional to 135,696 and 298,944

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Solution

The third proportional to 135,696 and 298,944 is: 658,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,696 : 298,944 = 298,944 : x
  2. Step 2: Convert to fraction form
    135,696/298,944 = 298,944/x
  3. Step 3: Cross multiply
    135,696x = 298,944 × 298,944
  4. Step 4: Simplify right side
    135,696x = 89,367,515,136
  5. Step 5: Solve for x
    x = 89,367,515,136/135,696
  6. Step 6: Final answer
    x = 658,586.22

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Why These Related Problems?

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