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Finding the Third Proportional to 80,716.50 and 176,175

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Solution

The third proportional to 80,716.50 and 176,175 is: 384,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,716.50 : 176,175 = 176,175 : x
  2. Step 2: Convert to fraction form
    80,716.50/176,175 = 176,175/x
  3. Step 3: Cross multiply
    80,716.50x = 176,175 × 176,175
  4. Step 4: Simplify right side
    80,716.50x = 31,037,630,625
  5. Step 5: Solve for x
    x = 31,037,630,625/80,716.50
  6. Step 6: Final answer
    x = 384,526.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.