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Finding the Third Proportional to 213,175.97 and 462,205.69

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Solution

The third proportional to 213,175.97 and 462,205.69 is: 1,002,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,175.97 : 462,205.69 = 462,205.69 : x
  2. Step 2: Convert to fraction form
    213,175.97/462,205.69 = 462,205.69/x
  3. Step 3: Cross multiply
    213,175.97x = 462,205.69 × 462,205.69
  4. Step 4: Simplify right side
    213,175.97x = 213,634,097,557.35
  5. Step 5: Solve for x
    x = 213,634,097,557.35/213,175.97
  6. Step 6: Final answer
    x = 1,002,149.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.