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Finding the Third Proportional to 76,025 and 176,184

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Solution

The third proportional to 76,025 and 176,184 is: 408,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,025 : 176,184 = 176,184 : x
  2. Step 2: Convert to fraction form
    76,025/176,184 = 176,184/x
  3. Step 3: Cross multiply
    76,025x = 176,184 × 176,184
  4. Step 4: Simplify right side
    76,025x = 31,040,801,856
  5. Step 5: Solve for x
    x = 31,040,801,856/76,025
  6. Step 6: Final answer
    x = 408,297.30

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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.