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Finding the Third Proportional to 247,942.69 and 368,269.03

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Solution

The third proportional to 247,942.69 and 368,269.03 is: 546,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,942.69 : 368,269.03 = 368,269.03 : x
  2. Step 2: Convert to fraction form
    247,942.69/368,269.03 = 368,269.03/x
  3. Step 3: Cross multiply
    247,942.69x = 368,269.03 × 368,269.03
  4. Step 4: Simplify right side
    247,942.69x = 135,622,079,377.81
  5. Step 5: Solve for x
    x = 135,622,079,377.81/247,942.69
  6. Step 6: Final answer
    x = 546,989.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.