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Finding the Third Proportional to 143,563.50 and 201,177

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Solution

The third proportional to 143,563.50 and 201,177 is: 281,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,563.50 : 201,177 = 201,177 : x
  2. Step 2: Convert to fraction form
    143,563.50/201,177 = 201,177/x
  3. Step 3: Cross multiply
    143,563.50x = 201,177 × 201,177
  4. Step 4: Simplify right side
    143,563.50x = 40,472,185,329
  5. Step 5: Solve for x
    x = 40,472,185,329/143,563.50
  6. Step 6: Final answer
    x = 281,911.39

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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.