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Finding the Third Proportional to 119,280 and 244,104

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Solution

The third proportional to 119,280 and 244,104 is: 499,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,280 : 244,104 = 244,104 : x
  2. Step 2: Convert to fraction form
    119,280/244,104 = 244,104/x
  3. Step 3: Cross multiply
    119,280x = 244,104 × 244,104
  4. Step 4: Simplify right side
    119,280x = 59,586,762,816
  5. Step 5: Solve for x
    x = 59,586,762,816/119,280
  6. Step 6: Final answer
    x = 499,553.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.