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Finding the Third Proportional to 230,852 and 347,802

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Solution

The third proportional to 230,852 and 347,802 is: 523,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,852 : 347,802 = 347,802 : x
  2. Step 2: Convert to fraction form
    230,852/347,802 = 347,802/x
  3. Step 3: Cross multiply
    230,852x = 347,802 × 347,802
  4. Step 4: Simplify right side
    230,852x = 120,966,231,204
  5. Step 5: Solve for x
    x = 120,966,231,204/230,852
  6. Step 6: Final answer
    x = 523,999.06

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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.