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Finding the Third Proportional to 201,663 and 266,193

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Solution

The third proportional to 201,663 and 266,193 is: 351,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,663 : 266,193 = 266,193 : x
  2. Step 2: Convert to fraction form
    201,663/266,193 = 266,193/x
  3. Step 3: Cross multiply
    201,663x = 266,193 × 266,193
  4. Step 4: Simplify right side
    201,663x = 70,858,713,249
  5. Step 5: Solve for x
    x = 70,858,713,249/201,663
  6. Step 6: Final answer
    x = 351,371.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.