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Finding the Third Proportional to 143,609.50 and 201,242.75

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Solution

The third proportional to 143,609.50 and 201,242.75 is: 282,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,609.50 : 201,242.75 = 201,242.75 : x
  2. Step 2: Convert to fraction form
    143,609.50/201,242.75 = 201,242.75/x
  3. Step 3: Cross multiply
    143,609.50x = 201,242.75 × 201,242.75
  4. Step 4: Simplify right side
    143,609.50x = 40,498,644,427.56
  5. Step 5: Solve for x
    x = 40,498,644,427.56/143,609.50
  6. Step 6: Final answer
    x = 282,005.33

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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.