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Finding the Third Proportional to 204,777 and 310,027

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Solution

The third proportional to 204,777 and 310,027 is: 469,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,777 : 310,027 = 310,027 : x
  2. Step 2: Convert to fraction form
    204,777/310,027 = 310,027/x
  3. Step 3: Cross multiply
    204,777x = 310,027 × 310,027
  4. Step 4: Simplify right side
    204,777x = 96,116,740,729
  5. Step 5: Solve for x
    x = 96,116,740,729/204,777
  6. Step 6: Final answer
    x = 469,372.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.