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Finding the Third Proportional to 76,183 and 176,339

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Solution

The third proportional to 76,183 and 176,339 is: 408,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,183 : 176,339 = 176,339 : x
  2. Step 2: Convert to fraction form
    76,183/176,339 = 176,339/x
  3. Step 3: Cross multiply
    76,183x = 176,339 × 176,339
  4. Step 4: Simplify right side
    76,183x = 31,095,442,921
  5. Step 5: Solve for x
    x = 31,095,442,921/76,183
  6. Step 6: Final answer
    x = 408,167.74

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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.