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Finding the Third Proportional to 177,576.75 and 271,650.38

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Solution

The third proportional to 177,576.75 and 271,650.38 is: 415,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,576.75 : 271,650.38 = 271,650.38 : x
  2. Step 2: Convert to fraction form
    177,576.75/271,650.38 = 271,650.38/x
  3. Step 3: Cross multiply
    177,576.75x = 271,650.38 × 271,650.38
  4. Step 4: Simplify right side
    177,576.75x = 73,793,926,237.64
  5. Step 5: Solve for x
    x = 73,793,926,237.64/177,576.75
  6. Step 6: Final answer
    x = 415,560.74

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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.