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Finding the Third Proportional to 188,001 and 405,969.75

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Solution

The third proportional to 188,001 and 405,969.75 is: 876,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,001 : 405,969.75 = 405,969.75 : x
  2. Step 2: Convert to fraction form
    188,001/405,969.75 = 405,969.75/x
  3. Step 3: Cross multiply
    188,001x = 405,969.75 × 405,969.75
  4. Step 4: Simplify right side
    188,001x = 164,811,437,915.06
  5. Step 5: Solve for x
    x = 164,811,437,915.06/188,001
  6. Step 6: Final answer
    x = 876,651.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.