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Finding the Third Proportional to 131,500.50 and 287,604.75

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Solution

The third proportional to 131,500.50 and 287,604.75 is: 629,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,500.50 : 287,604.75 = 287,604.75 : x
  2. Step 2: Convert to fraction form
    131,500.50/287,604.75 = 287,604.75/x
  3. Step 3: Cross multiply
    131,500.50x = 287,604.75 × 287,604.75
  4. Step 4: Simplify right side
    131,500.50x = 82,716,492,222.56
  5. Step 5: Solve for x
    x = 82,716,492,222.56/131,500.50
  6. Step 6: Final answer
    x = 629,020.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.