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Finding the Third Proportional to 181,284 and 388,812

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Solution

The third proportional to 181,284 and 388,812 is: 833,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,284 : 388,812 = 388,812 : x
  2. Step 2: Convert to fraction form
    181,284/388,812 = 388,812/x
  3. Step 3: Cross multiply
    181,284x = 388,812 × 388,812
  4. Step 4: Simplify right side
    181,284x = 151,174,771,344
  5. Step 5: Solve for x
    x = 151,174,771,344/181,284
  6. Step 6: Final answer
    x = 833,911.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.