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Finding the Third Proportional to 181,856 and 388,982

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Solution

The third proportional to 181,856 and 388,982 is: 832,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,856 : 388,982 = 388,982 : x
  2. Step 2: Convert to fraction form
    181,856/388,982 = 388,982/x
  3. Step 3: Cross multiply
    181,856x = 388,982 × 388,982
  4. Step 4: Simplify right side
    181,856x = 151,306,996,324
  5. Step 5: Solve for x
    x = 151,306,996,324/181,856
  6. Step 6: Final answer
    x = 832,015.42

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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.