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Finding the Third Proportional to 80,994.94 and 176,524.31

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Solution

The third proportional to 80,994.94 and 176,524.31 is: 384,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,994.94 : 176,524.31 = 176,524.31 : x
  2. Step 2: Convert to fraction form
    80,994.94/176,524.31 = 176,524.31/x
  3. Step 3: Cross multiply
    80,994.94x = 176,524.31 × 176,524.31
  4. Step 4: Simplify right side
    80,994.94x = 31,160,832,903.60
  5. Step 5: Solve for x
    x = 31,160,832,903.60/80,994.94
  6. Step 6: Final answer
    x = 384,725.69

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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.