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Finding the Third Proportional to 80,178 and 173,964

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Solution

The third proportional to 80,178 and 173,964 is: 377,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,178 : 173,964 = 173,964 : x
  2. Step 2: Convert to fraction form
    80,178/173,964 = 173,964/x
  3. Step 3: Cross multiply
    80,178x = 173,964 × 173,964
  4. Step 4: Simplify right side
    80,178x = 30,263,473,296
  5. Step 5: Solve for x
    x = 30,263,473,296/80,178
  6. Step 6: Final answer
    x = 377,453.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.