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Finding the Third Proportional to 188,893.69 and 261,807.19

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Solution

The third proportional to 188,893.69 and 261,807.19 is: 362,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,893.69 : 261,807.19 = 261,807.19 : x
  2. Step 2: Convert to fraction form
    188,893.69/261,807.19 = 261,807.19/x
  3. Step 3: Cross multiply
    188,893.69x = 261,807.19 × 261,807.19
  4. Step 4: Simplify right side
    188,893.69x = 68,543,003,426.66
  5. Step 5: Solve for x
    x = 68,543,003,426.66/188,893.69
  6. Step 6: Final answer
    x = 362,865.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.