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Finding the Third Proportional to 205,958 and 446,171

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Solution

The third proportional to 205,958 and 446,171 is: 966,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,958 : 446,171 = 446,171 : x
  2. Step 2: Convert to fraction form
    205,958/446,171 = 446,171/x
  3. Step 3: Cross multiply
    205,958x = 446,171 × 446,171
  4. Step 4: Simplify right side
    205,958x = 199,068,561,241
  5. Step 5: Solve for x
    x = 199,068,561,241/205,958
  6. Step 6: Final answer
    x = 966,549.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.