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Finding the Third Proportional to 230,848 and 347,796

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Solution

The third proportional to 230,848 and 347,796 is: 523,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,848 : 347,796 = 347,796 : x
  2. Step 2: Convert to fraction form
    230,848/347,796 = 347,796/x
  3. Step 3: Cross multiply
    230,848x = 347,796 × 347,796
  4. Step 4: Simplify right side
    230,848x = 120,962,057,616
  5. Step 5: Solve for x
    x = 120,962,057,616/230,848
  6. Step 6: Final answer
    x = 523,990.06

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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.