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Finding the Third Proportional to 188,943 and 399,214.50

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Solution

The third proportional to 188,943 and 399,214.50 is: 843,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,943 : 399,214.50 = 399,214.50 : x
  2. Step 2: Convert to fraction form
    188,943/399,214.50 = 399,214.50/x
  3. Step 3: Cross multiply
    188,943x = 399,214.50 × 399,214.50
  4. Step 4: Simplify right side
    188,943x = 159,372,217,010.25
  5. Step 5: Solve for x
    x = 159,372,217,010.25/188,943
  6. Step 6: Final answer
    x = 843,493.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.