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Finding the Third Proportional to 80,595 and 175,759.88

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Solution

The third proportional to 80,595 and 175,759.88 is: 383,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,595 : 175,759.88 = 175,759.88 : x
  2. Step 2: Convert to fraction form
    80,595/175,759.88 = 175,759.88/x
  3. Step 3: Cross multiply
    80,595x = 175,759.88 × 175,759.88
  4. Step 4: Simplify right side
    80,595x = 30,891,533,660.02
  5. Step 5: Solve for x
    x = 30,891,533,660.02/80,595
  6. Step 6: Final answer
    x = 383,293.43

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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.