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Finding the Third Proportional to 131,774 and 289,790

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Solution

The third proportional to 131,774 and 289,790 is: 637,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,774 : 289,790 = 289,790 : x
  2. Step 2: Convert to fraction form
    131,774/289,790 = 289,790/x
  3. Step 3: Cross multiply
    131,774x = 289,790 × 289,790
  4. Step 4: Simplify right side
    131,774x = 83,978,244,100
  5. Step 5: Solve for x
    x = 83,978,244,100/131,774
  6. Step 6: Final answer
    x = 637,289.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.