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Finding the Third Proportional to 232,930 and 351,610

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Solution

The third proportional to 232,930 and 351,610 is: 530,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,930 : 351,610 = 351,610 : x
  2. Step 2: Convert to fraction form
    232,930/351,610 = 351,610/x
  3. Step 3: Cross multiply
    232,930x = 351,610 × 351,610
  4. Step 4: Simplify right side
    232,930x = 123,629,592,100
  5. Step 5: Solve for x
    x = 123,629,592,100/232,930
  6. Step 6: Final answer
    x = 530,758.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.