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Finding the Third Proportional to 213,162.75 and 462,181.50

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Solution

The third proportional to 213,162.75 and 462,181.50 is: 1,002,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,162.75 : 462,181.50 = 462,181.50 : x
  2. Step 2: Convert to fraction form
    213,162.75/462,181.50 = 462,181.50/x
  3. Step 3: Cross multiply
    213,162.75x = 462,181.50 × 462,181.50
  4. Step 4: Simplify right side
    213,162.75x = 213,611,738,942.25
  5. Step 5: Solve for x
    x = 213,611,738,942.25/213,162.75
  6. Step 6: Final answer
    x = 1,002,106.32

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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.