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Finding the Third Proportional to 116,982 and 239,508

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Solution

The third proportional to 116,982 and 239,508 is: 490,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,982 : 239,508 = 239,508 : x
  2. Step 2: Convert to fraction form
    116,982/239,508 = 239,508/x
  3. Step 3: Cross multiply
    116,982x = 239,508 × 239,508
  4. Step 4: Simplify right side
    116,982x = 57,364,082,064
  5. Step 5: Solve for x
    x = 57,364,082,064/116,982
  6. Step 6: Final answer
    x = 490,366.74

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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.