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Finding the Third Proportional to 230,562 and 345,843

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Solution

The third proportional to 230,562 and 345,843 is: 518,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,562 : 345,843 = 345,843 : x
  2. Step 2: Convert to fraction form
    230,562/345,843 = 345,843/x
  3. Step 3: Cross multiply
    230,562x = 345,843 × 345,843
  4. Step 4: Simplify right side
    230,562x = 119,607,380,649
  5. Step 5: Solve for x
    x = 119,607,380,649/230,562
  6. Step 6: Final answer
    x = 518,764.50

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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.