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Finding the Third Proportional to 143,374.50 and 200,529

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Solution

The third proportional to 143,374.50 and 200,529 is: 280,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,374.50 : 200,529 = 200,529 : x
  2. Step 2: Convert to fraction form
    143,374.50/200,529 = 200,529/x
  3. Step 3: Cross multiply
    143,374.50x = 200,529 × 200,529
  4. Step 4: Simplify right side
    143,374.50x = 40,211,879,841
  5. Step 5: Solve for x
    x = 40,211,879,841/143,374.50
  6. Step 6: Final answer
    x = 280,467.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.