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Finding the Third Proportional to 230,620 and 345,930

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Solution

The third proportional to 230,620 and 345,930 is: 518,895

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,620 : 345,930 = 345,930 : x
  2. Step 2: Convert to fraction form
    230,620/345,930 = 345,930/x
  3. Step 3: Cross multiply
    230,620x = 345,930 × 345,930
  4. Step 4: Simplify right side
    230,620x = 119,667,564,900
  5. Step 5: Solve for x
    x = 119,667,564,900/230,620
  6. Step 6: Final answer
    x = 518,895

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.