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Finding the Third Proportional to 188,536.50 and 410,244

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Solution

The third proportional to 188,536.50 and 410,244 is: 892,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,536.50 : 410,244 = 410,244 : x
  2. Step 2: Convert to fraction form
    188,536.50/410,244 = 410,244/x
  3. Step 3: Cross multiply
    188,536.50x = 410,244 × 410,244
  4. Step 4: Simplify right side
    188,536.50x = 168,300,139,536
  5. Step 5: Solve for x
    x = 168,300,139,536/188,536.50
  6. Step 6: Final answer
    x = 892,666.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.