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Finding the Third Proportional to 80,357.63 and 175,001.63

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Solution

The third proportional to 80,357.63 and 175,001.63 is: 381,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,357.63 : 175,001.63 = 175,001.63 : x
  2. Step 2: Convert to fraction form
    80,357.63/175,001.63 = 175,001.63/x
  3. Step 3: Cross multiply
    80,357.63x = 175,001.63 × 175,001.63
  4. Step 4: Simplify right side
    80,357.63x = 30,625,568,752.64
  5. Step 5: Solve for x
    x = 30,625,568,752.64/80,357.63
  6. Step 6: Final answer
    x = 381,115.90

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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.