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Finding the Third Proportional to 76,182 and 176,337

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Solution

The third proportional to 76,182 and 176,337 is: 408,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,182 : 176,337 = 176,337 : x
  2. Step 2: Convert to fraction form
    76,182/176,337 = 176,337/x
  3. Step 3: Cross multiply
    76,182x = 176,337 × 176,337
  4. Step 4: Simplify right side
    76,182x = 31,094,737,569
  5. Step 5: Solve for x
    x = 31,094,737,569/76,182
  6. Step 6: Final answer
    x = 408,163.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.