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Finding the Third Proportional to 227,832 and 357,912

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Solution

The third proportional to 227,832 and 357,912 is: 562,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,832 : 357,912 = 357,912 : x
  2. Step 2: Convert to fraction form
    227,832/357,912 = 357,912/x
  3. Step 3: Cross multiply
    227,832x = 357,912 × 357,912
  4. Step 4: Simplify right side
    227,832x = 128,100,999,744
  5. Step 5: Solve for x
    x = 128,100,999,744/227,832
  6. Step 6: Final answer
    x = 562,260.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.