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Finding the Third Proportional to 239,056 and 324,836

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Solution

The third proportional to 239,056 and 324,836 is: 441,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,056 : 324,836 = 324,836 : x
  2. Step 2: Convert to fraction form
    239,056/324,836 = 324,836/x
  3. Step 3: Cross multiply
    239,056x = 324,836 × 324,836
  4. Step 4: Simplify right side
    239,056x = 105,518,426,896
  5. Step 5: Solve for x
    x = 105,518,426,896/239,056
  6. Step 6: Final answer
    x = 441,396.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.