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Finding the Third Proportional to 126,840.38 and 200,696.63

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Solution

The third proportional to 126,840.38 and 200,696.63 is: 317,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,840.38 : 200,696.63 = 200,696.63 : x
  2. Step 2: Convert to fraction form
    126,840.38/200,696.63 = 200,696.63/x
  3. Step 3: Cross multiply
    126,840.38x = 200,696.63 × 200,696.63
  4. Step 4: Simplify right side
    126,840.38x = 40,279,135,286.39
  5. Step 5: Solve for x
    x = 40,279,135,286.39/126,840.38
  6. Step 6: Final answer
    x = 317,557.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.