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Finding the Third Proportional to 207,692.44 and 311,193.56

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Solution

The third proportional to 207,692.44 and 311,193.56 is: 466,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,692.44 : 311,193.56 = 311,193.56 : x
  2. Step 2: Convert to fraction form
    207,692.44/311,193.56 = 311,193.56/x
  3. Step 3: Cross multiply
    207,692.44x = 311,193.56 × 311,193.56
  4. Step 4: Simplify right side
    207,692.44x = 96,841,433,341.44
  5. Step 5: Solve for x
    x = 96,841,433,341.44/207,692.44
  6. Step 6: Final answer
    x = 466,273.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.