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Finding the Third Proportional to 143,338.50 and 303,741

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Solution

The third proportional to 143,338.50 and 303,741 is: 643,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,338.50 : 303,741 = 303,741 : x
  2. Step 2: Convert to fraction form
    143,338.50/303,741 = 303,741/x
  3. Step 3: Cross multiply
    143,338.50x = 303,741 × 303,741
  4. Step 4: Simplify right side
    143,338.50x = 92,258,595,081
  5. Step 5: Solve for x
    x = 92,258,595,081/143,338.50
  6. Step 6: Final answer
    x = 643,641.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.