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Finding the Third Proportional to 232,978 and 349,098

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Solution

The third proportional to 232,978 and 349,098 is: 523,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,978 : 349,098 = 349,098 : x
  2. Step 2: Convert to fraction form
    232,978/349,098 = 349,098/x
  3. Step 3: Cross multiply
    232,978x = 349,098 × 349,098
  4. Step 4: Simplify right side
    232,978x = 121,869,413,604
  5. Step 5: Solve for x
    x = 121,869,413,604/232,978
  6. Step 6: Final answer
    x = 523,094.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.