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Finding the Third Proportional to 188,851.50 and 405,771

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Solution

The third proportional to 188,851.50 and 405,771 is: 871,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,851.50 : 405,771 = 405,771 : x
  2. Step 2: Convert to fraction form
    188,851.50/405,771 = 405,771/x
  3. Step 3: Cross multiply
    188,851.50x = 405,771 × 405,771
  4. Step 4: Simplify right side
    188,851.50x = 164,650,104,441
  5. Step 5: Solve for x
    x = 164,650,104,441/188,851.50
  6. Step 6: Final answer
    x = 871,849.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.