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Finding the Third Proportional to 151,272 and 200,664

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Solution

The third proportional to 151,272 and 200,664 is: 266,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,272 : 200,664 = 200,664 : x
  2. Step 2: Convert to fraction form
    151,272/200,664 = 200,664/x
  3. Step 3: Cross multiply
    151,272x = 200,664 × 200,664
  4. Step 4: Simplify right side
    151,272x = 40,266,040,896
  5. Step 5: Solve for x
    x = 40,266,040,896/151,272
  6. Step 6: Final answer
    x = 266,183.04

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.