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Finding the Third Proportional to 203,186 and 298,886

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Solution

The third proportional to 203,186 and 298,886 is: 439,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,186 : 298,886 = 298,886 : x
  2. Step 2: Convert to fraction form
    203,186/298,886 = 298,886/x
  3. Step 3: Cross multiply
    203,186x = 298,886 × 298,886
  4. Step 4: Simplify right side
    203,186x = 89,332,840,996
  5. Step 5: Solve for x
    x = 89,332,840,996/203,186
  6. Step 6: Final answer
    x = 439,660.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.