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Finding the Third Proportional to 230,832 and 345,328

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Solution

The third proportional to 230,832 and 345,328 is: 516,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,832 : 345,328 = 345,328 : x
  2. Step 2: Convert to fraction form
    230,832/345,328 = 345,328/x
  3. Step 3: Cross multiply
    230,832x = 345,328 × 345,328
  4. Step 4: Simplify right side
    230,832x = 119,251,427,584
  5. Step 5: Solve for x
    x = 119,251,427,584/230,832
  6. Step 6: Final answer
    x = 516,615.67

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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.