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Finding the Third Proportional to 80,611.88 and 175,226.63

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Solution

The third proportional to 80,611.88 and 175,226.63 is: 380,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,611.88 : 175,226.63 = 175,226.63 : x
  2. Step 2: Convert to fraction form
    80,611.88/175,226.63 = 175,226.63/x
  3. Step 3: Cross multiply
    80,611.88x = 175,226.63 × 175,226.63
  4. Step 4: Simplify right side
    80,611.88x = 30,704,370,108.89
  5. Step 5: Solve for x
    x = 30,704,370,108.89/80,611.88
  6. Step 6: Final answer
    x = 380,891.40

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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.