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Finding the Third Proportional to 252,067.75 and 385,786.38

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Solution

The third proportional to 252,067.75 and 385,786.38 is: 590,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,067.75 : 385,786.38 = 385,786.38 : x
  2. Step 2: Convert to fraction form
    252,067.75/385,786.38 = 385,786.38/x
  3. Step 3: Cross multiply
    252,067.75x = 385,786.38 × 385,786.38
  4. Step 4: Simplify right side
    252,067.75x = 148,831,127,135.64
  5. Step 5: Solve for x
    x = 148,831,127,135.64/252,067.75
  6. Step 6: Final answer
    x = 590,440.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.