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Finding the Third Proportional to 167,658.75 and 253,654.88

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Solution

The third proportional to 167,658.75 and 253,654.88 is: 383,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,658.75 : 253,654.88 = 253,654.88 : x
  2. Step 2: Convert to fraction form
    167,658.75/253,654.88 = 253,654.88/x
  3. Step 3: Cross multiply
    167,658.75x = 253,654.88 × 253,654.88
  4. Step 4: Simplify right side
    167,658.75x = 64,340,795,611.27
  5. Step 5: Solve for x
    x = 64,340,795,611.27/167,658.75
  6. Step 6: Final answer
    x = 383,760.44

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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.