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Finding the Third Proportional to 116,982.94 and 239,496.38

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Solution

The third proportional to 116,982.94 and 239,496.38 is: 490,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,982.94 : 239,496.38 = 239,496.38 : x
  2. Step 2: Convert to fraction form
    116,982.94/239,496.38 = 239,496.38/x
  3. Step 3: Cross multiply
    116,982.94x = 239,496.38 × 239,496.38
  4. Step 4: Simplify right side
    116,982.94x = 57,358,513,638.14
  5. Step 5: Solve for x
    x = 57,358,513,638.14/116,982.94
  6. Step 6: Final answer
    x = 490,315.21

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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.