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Finding the Third Proportional to 188,275.50 and 413,866.69

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Solution

The third proportional to 188,275.50 and 413,866.69 is: 909,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,275.50 : 413,866.69 = 413,866.69 : x
  2. Step 2: Convert to fraction form
    188,275.50/413,866.69 = 413,866.69/x
  3. Step 3: Cross multiply
    188,275.50x = 413,866.69 × 413,866.69
  4. Step 4: Simplify right side
    188,275.50x = 171,285,635,022.22
  5. Step 5: Solve for x
    x = 171,285,635,022.22/188,275.50
  6. Step 6: Final answer
    x = 909,760.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.