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Finding the Third Proportional to 151,834.75 and 351,505

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Solution

The third proportional to 151,834.75 and 351,505 is: 813,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,834.75 : 351,505 = 351,505 : x
  2. Step 2: Convert to fraction form
    151,834.75/351,505 = 351,505/x
  3. Step 3: Cross multiply
    151,834.75x = 351,505 × 351,505
  4. Step 4: Simplify right side
    151,834.75x = 123,555,765,025
  5. Step 5: Solve for x
    x = 123,555,765,025/151,834.75
  6. Step 6: Final answer
    x = 813,751.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.