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Finding the Third Proportional to 139,022.50 and 303,529

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Solution

The third proportional to 139,022.50 and 303,529 is: 662,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,022.50 : 303,529 = 303,529 : x
  2. Step 2: Convert to fraction form
    139,022.50/303,529 = 303,529/x
  3. Step 3: Cross multiply
    139,022.50x = 303,529 × 303,529
  4. Step 4: Simplify right side
    139,022.50x = 92,129,853,841
  5. Step 5: Solve for x
    x = 92,129,853,841/139,022.50
  6. Step 6: Final answer
    x = 662,697.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.