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Finding the Third Proportional to 143,914 and 201,300

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Solution

The third proportional to 143,914 and 201,300 is: 281,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,914 : 201,300 = 201,300 : x
  2. Step 2: Convert to fraction form
    143,914/201,300 = 201,300/x
  3. Step 3: Cross multiply
    143,914x = 201,300 × 201,300
  4. Step 4: Simplify right side
    143,914x = 40,521,690,000
  5. Step 5: Solve for x
    x = 40,521,690,000/143,914
  6. Step 6: Final answer
    x = 281,568.78

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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.