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Finding the Third Proportional to 208,363.50 and 311,172.75

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Solution

The third proportional to 208,363.50 and 311,172.75 is: 464,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,363.50 : 311,172.75 = 311,172.75 : x
  2. Step 2: Convert to fraction form
    208,363.50/311,172.75 = 311,172.75/x
  3. Step 3: Cross multiply
    208,363.50x = 311,172.75 × 311,172.75
  4. Step 4: Simplify right side
    208,363.50x = 96,828,480,342.56
  5. Step 5: Solve for x
    x = 96,828,480,342.56/208,363.50
  6. Step 6: Final answer
    x = 464,709.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.