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Finding the Third Proportional to 230,898 and 347,019

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Solution

The third proportional to 230,898 and 347,019 is: 521,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,898 : 347,019 = 347,019 : x
  2. Step 2: Convert to fraction form
    230,898/347,019 = 347,019/x
  3. Step 3: Cross multiply
    230,898x = 347,019 × 347,019
  4. Step 4: Simplify right side
    230,898x = 120,422,186,361
  5. Step 5: Solve for x
    x = 120,422,186,361/230,898
  6. Step 6: Final answer
    x = 521,538.46

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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.