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Finding the Third Proportional to 159,753 and 351,912

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Solution

The third proportional to 159,753 and 351,912 is: 775,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,753 : 351,912 = 351,912 : x
  2. Step 2: Convert to fraction form
    159,753/351,912 = 351,912/x
  3. Step 3: Cross multiply
    159,753x = 351,912 × 351,912
  4. Step 4: Simplify right side
    159,753x = 123,842,055,744
  5. Step 5: Solve for x
    x = 123,842,055,744/159,753
  6. Step 6: Final answer
    x = 775,209.58

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Why These Related Problems?

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