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Finding the Third Proportional to 76,028 and 176,188

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Solution

The third proportional to 76,028 and 176,188 is: 408,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,028 : 176,188 = 176,188 : x
  2. Step 2: Convert to fraction form
    76,028/176,188 = 176,188/x
  3. Step 3: Cross multiply
    76,028x = 176,188 × 176,188
  4. Step 4: Simplify right side
    76,028x = 31,042,211,344
  5. Step 5: Solve for x
    x = 31,042,211,344/76,028
  6. Step 6: Final answer
    x = 408,299.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.