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Finding the Third Proportional to 133,620 and 310,722

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Solution

The third proportional to 133,620 and 310,722 is: 722,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,620 : 310,722 = 310,722 : x
  2. Step 2: Convert to fraction form
    133,620/310,722 = 310,722/x
  3. Step 3: Cross multiply
    133,620x = 310,722 × 310,722
  4. Step 4: Simplify right side
    133,620x = 96,548,161,284
  5. Step 5: Solve for x
    x = 96,548,161,284/133,620
  6. Step 6: Final answer
    x = 722,557.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.