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Finding the Third Proportional to 188,469 and 410,818.50

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Solution

The third proportional to 188,469 and 410,818.50 is: 895,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,469 : 410,818.50 = 410,818.50 : x
  2. Step 2: Convert to fraction form
    188,469/410,818.50 = 410,818.50/x
  3. Step 3: Cross multiply
    188,469x = 410,818.50 × 410,818.50
  4. Step 4: Simplify right side
    188,469x = 168,771,839,942.25
  5. Step 5: Solve for x
    x = 168,771,839,942.25/188,469
  6. Step 6: Final answer
    x = 895,488.59

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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.