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Finding the Third Proportional to 239,060 and 324,840

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Solution

The third proportional to 239,060 and 324,840 is: 441,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,060 : 324,840 = 324,840 : x
  2. Step 2: Convert to fraction form
    239,060/324,840 = 324,840/x
  3. Step 3: Cross multiply
    239,060x = 324,840 × 324,840
  4. Step 4: Simplify right side
    239,060x = 105,521,025,600
  5. Step 5: Solve for x
    x = 105,521,025,600/239,060
  6. Step 6: Final answer
    x = 441,399.76

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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.