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Finding the Third Proportional to 239,672.25 and 521,181

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Solution

The third proportional to 239,672.25 and 521,181 is: 1,133,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,672.25 : 521,181 = 521,181 : x
  2. Step 2: Convert to fraction form
    239,672.25/521,181 = 521,181/x
  3. Step 3: Cross multiply
    239,672.25x = 521,181 × 521,181
  4. Step 4: Simplify right side
    239,672.25x = 271,629,634,761
  5. Step 5: Solve for x
    x = 271,629,634,761/239,672.25
  6. Step 6: Final answer
    x = 1,133,337.86

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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.